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here is the problem, can you break it down for me in steps and show me how to go about breaking it down, maybe you might know where I can find a helpful link on the internet that would help me out for free,
10-2{8-3[7-2(3x-4)]}=12+11x
any help would be so greatly appreciated:)

2006-09-25 15:36:11 · 7 answers · asked by Anonymous in Education & Reference Homework Help

7 answers

10-2{8-3[7-2(3x-4)]} = 12 + 11x
Start with the innermost parentheses and work your way out.
10-2{8-3[7 - 6x + 8]} = 12 + 11x
10-2{8-3[-6x + 15]} = 12 + 11x
10-2{8 + 18x - 45} = 12 + 11x
10-2{18x - 37} = 12 + 11x
10 - 36x + 74 = 12 + 11x
-36x + 84 = 12 + 11x
Subtract 11x from each side
-47x + 84 = 12
Subtract 84 from each side
-47x = -72
Divide both sides by -47
x = -72/-47
Cancel the negatives
x = 72/47

2006-09-25 15:43:24 · answer #1 · answered by MsMath 7 · 0 0

When you have parentheses inside of other parentheses, you start at the inside and work out from there. So first multiply 2 by (3x-4) and go from there:

10-2{8-3[7-6x+8]} = 12+11x
10-2{8-3[15-6x]}= 12+11x
10-2{8-45+18x} = 12+11x
10-2{18x-37} = 12+11x

You can do the rest of it. Finish multiplying everything out, then gather the x's on one side and the constants on the other, then solve for x. I'm assuming you have enough algebra to do the rest of this.

2006-09-25 15:44:20 · answer #2 · answered by Judy 7 · 0 0

ok i hope i get this right... that's a very long one!

expand the brackets...
10-2{8-3[7-2(3x-4)]}=12+11x
10-2{8-3[7-6x+8]}=12+11x
10-2{8-21+18x-24}=12+11x
10-16+42-36x+48=12+11x

group like terms...
84-36x=12+11x

and then its more basic algebra...
72=47x
72/47=x

that doesn't look right, but i cant see anything wrong with the working out...
i've probably left out some tiny detail which makes the answer completely wrong! i do that a lot... but at least now you have some idea of how to go about doing it! good luck

2006-09-25 15:50:09 · answer #3 · answered by Anonymous · 0 0

You start with the innermost parenthesis. Start off by distributing the -2 by multiplying it by 3x and -4 so you get

10-2{8-3[7-6x+8]}=12+11x

then combine like terms in the next set of brackets, take the 7 and add 8 so you get

10-2{8-3[15-6x]}=12+11x

then you take the -3 and multiply it by 15 and -6x so you get

10-2{8-45+18x}=12+11x

again combine like terms, 8-45=-37, so you get

10-2{-37+18x}=12+11x

again take -2 and multiply it by -37 and 18x to get

10+74-36x=12+11x

combine like terms on the left side to get

84-36x=12+11x

add 36x to both sides:

84=12+47x

subtract 12 from both sides

72=47x

divide 47 from both sides

x=72/47

2006-09-25 15:46:30 · answer #4 · answered by oJmHo 2 · 0 0

a million) answer is 0. 2x - 5 = 5. upload 5 from Left facet, reason u want to have an answer on the different facet. upload the different. 2x = 0 or Ø with the aid of fact u cant divide it. 2) 4x + 8 = 12. upload the different so as a replace of including 8 to twelve, considering that ur including the different u. minus 8 from 12. 4x = 4. Divide 4 with 4. X=a million 3)6 + 4x = 18. Rewrite it so the 4x is in front 4x + 6 = 18. Now subtract 6 from 18 you get 12. 4x = 12. divide 12 with 4 you get 3. the respond is X=3 4)placed the x in front back. 3x - 8= -22. upload the -8(considering that ur including the different u get + -8) to the - 22. considering that they are on opposite factors of the extensive type line they cancel one yet another out. 22 - 8 = 30. so which you finally end up with 3x = 30 Divide which you get(whats 30 divided by ability of three?) 10! so X=10!! 5)7x - 9 = -26. Do what we did final undertaking. upload the different. You get 7x = 35 Divide 35 with 7 you get... 5!! So X=5 6) Now this one is hard.. considering that -4'x' and 3'x' Are like words(meaning the two have comparable letters/symbols) u upload them mutually. considering that -4 is bigger (think of of it as 4 + 3) you get -7x(-4x + -3x including the different remember?). So -19 = -7x = 9. U want to convey the 9 and -19 mutually. So u upload the different. -19 + -9 = 28. So -28 = -7x or -7x = -28. 28 Divided by ability of 7 is 4 so X=4 is the respond(explanation why its effective is with the aid of fact any 2 Negatives = effective while multiplying or dividing.) 7) remember upload like words(upload numbers with comparable letter/image/exponent) -3x + x = 4x. So the undertaking now's 4x = 10 + 26 (I took out the different equivalent sign with the aid of fact 26 does not equivalent something now that i took away the "X." 26 cant equivalent X if there is not any X to be equaled or solved.) 4x = 10 + 26. upload 10 and 26 you get, 36! So 4x = 36. 36 Divided by ability of four is 8. So the respond is X=8 8) looks like we get to characteristic like words back! -4x + -6x is(I added the different) -10x so the undertaking now's.. -88 = -10x - 8. upload the 8 to -88. with the aid of fact the 8 is effective and -88 is damaging, you get -80(8 positives canceled 8 negatives providing you with -80). So that is now, -80 = -10x or -10x = -80(you many times want THE X IN front). remember that 2 negatives make an outstanding while multiplying or dividing. So.. divide -80 and -10 you get effective 8. So X=8 answer KEY: a million)Ø--or in case you like X=0 2)X=a million 3)X=3 4)X=10 5)X=5 6)X=4 7)X=8 8)X=8

2016-10-17 23:45:20 · answer #5 · answered by delcampo 4 · 0 0

Distribution rule. Then combine like variables.

Multiply -2 x (3x) and -2 x -4 = [ 7-6x+8] = -6x + 15

Then your equation would look like 10-2{8-3[-6x+15]} = 12+11x

Then continue to distribute.

2006-09-25 15:41:09 · answer #6 · answered by tiger_lilly33186 3 · 0 0

ok i dont know which country u belong and the terminology u use , but we call it BODMAS, i.e bracket off, dividion, multiplication, addition and then subtraction, i.e thhe way and the sequence u follow and the first one is the inner most brackets,


10-2{ 8-3[7-2(3x-4)]}=12+11x

10-2{8-3{7-6x+8]}=12 + 11x

10-2{8-3[15-6x]}=12+11x

10-2{8-45+18x}=12+11x

10-2{-37+18x}=12+11x

10+74-36x=12+11x

84-36x=12+11x

84-12=11x+26x

72=47x

x=72/47

had fun doing this, no maths since last ..hmmmm....hmmmm....7 years i guess

2006-09-25 20:02:03 · answer #7 · answered by hmmm 3 · 0 0

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