3x - 5(3x - 7) = 2(x + 9) + 45
2006-07-31 09:00:26 · 19 answers · asked by Spirit 2 in Education & Reference ➔ Homework Help
Thanks everyone, the answer is -2. I messed up when I combined like terms. Now I know what I did wrong, thanks for your help : )
2006-07-31 09:25:29 · update #1
3x - 5(3x - 7) = 2(x + 9) + 45
3x - 15x + 35 = 2x + 18 +45
-12x + 35 = 2x + 63
-14x = 28
x= 28/-14
x= -2
Let's Check
3*-2 - 5(3*-2-7) = -6 - 5(-13) = -6 + 65 = 59
2 (-2 + 9) + 45 = 2(7) + 45 = 14 + 45 = 59
2006-07-31 09:06:56 · answer #1 · answered by Anonymous · 1⤊ 0⤋
distribute everything first...
3x -15x +35 = 2x+18 +45
combine like terms on each side of = sign
(3x -15x) +35 = 2x+(18 +45)
-12x +35 = 2x + 63
add 12x to both sides
-12x +35 = 2x + 63
-12x +12x +35 = 2x + 63 +12x
35 =63 +14X
now subtract 63 from both sides
35 -63 =63 -63 +14X
-28 = 14x
now divide by 14 on both sides
-28/14 = 14x/14
-2 =x
check your work
does putting a -2 in for x make the initial equation true?
3x -15x +35 = 2x+18 +45
3(-2) -15(-2) + 35 = 2(-2) +18 +45
-6 +30 +35 = -4 +18 +45
59 = 59
2006-07-31 16:10:35 · answer #2 · answered by Charity 3 · 0⤊ 0⤋
If your parentheses are correct, then:
* 3x - 5(3x - 7) = 2(x + 9) + 45
* 3x - 15x + 35 = 2X + 18 + 45
* -12x + 35 = 2x + 63
* -14x = 28
*x = 28 / -14
So
x = -2
2006-07-31 16:08:50 · answer #3 · answered by Pumpkin 3 · 0⤊ 0⤋
3x - 5(3x - 7) = 2(x + 9) + 45
3x-15x +35 = 2x +18 + 45 Distributive Property
-12x +35 = 2x + 63 Combine like terms
-35 -35
-12x = 2x + 28
-2x -2x
-14x = 28 28/-14= -2
x = -2
2006-07-31 16:21:16 · answer #4 · answered by mortilyn77 2 · 0⤊ 0⤋
3x - 5(3x-7)=2(x+9) +45
first distribute the 2
3x-5(3x-7)=2x+18+45
Next add 18 and 45
3x-5(3x-7)=2x+63
subtract 3x from each side
-15x+35= -1x+63
subtract -15x from -1x
35=14x+63
add 63 to 35
98=14x
divide 98 by 14
X=???
there ya go
2006-07-31 16:12:48 · answer #5 · answered by guitar814girl 2 · 0⤊ 0⤋
3x - 5(3x - 7) = 2(x + 9) + 45
3x-15x+35=2x+18+45
-12x+35=63+2x
35=63+14x
-28=14x
-2=x
2006-07-31 16:07:25 · answer #6 · answered by Anonymous · 0⤊ 0⤋
x = -2
2006-07-31 16:18:55 · answer #7 · answered by Anonymous · 0⤊ 0⤋
So 3x - 5(3x - 7) = 2(x + 9) + 45
3x-15x+35=2x+18+45
3x-15x-2x=35+18+45
-14x=98 [ times (-1)]
14x=-98
x=-98:14
x=-7
I'M SURE!!!
2006-07-31 16:07:53 · answer #8 · answered by Maggi 2 · 0⤊ 0⤋
x=7/4
2006-07-31 16:04:22 · answer #9 · answered by sillybilly 1 · 0⤊ 0⤋
3x-5(3x-7)=2(x+9)+45
Multiply out to get rid of perenthesis:
3x-15x+35=2x+18+45
Combine like terms:
-12x+35=2x+63
Manipulate like terms to put on same side of equation:
-14x=28
Solve for x:
x=-2
2006-07-31 16:06:14 · answer #10 · answered by xtowgrunt 6 · 0⤊ 0⤋