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4x+3(x-2)=-5(x-4)-x

2006-10-11 14:16:47 · 9 answers · asked by mr.me 2 in Science & Mathematics Mathematics

9 answers

Here are the steps.

First, clear the parentheses:

4x + 3x - 6 = -5x +20 - x

Do you see why the 20 is positive? -5 times -4 is positive.

Then we get

7x -6 = 20 - 6x
13x = 26
x = 2

Check:
4 * 2 + 3(2 - 2) = -5(2 - 4) - 2
8 + 0 = -5(-2) - 2
8 = 10 - 2

Yes!!!

2006-10-11 14:17:35 · answer #1 · answered by ? 6 · 0 0

2

2006-10-11 21:23:57 · answer #2 · answered by Mark Antony 3 · 0 0

distribute first to get rid of parentheses.
so 4x+3(x-2)=-5(x-4)-x = 4x+3x-6 = -5x +20 -x
then add liked terms
so 4x+3x-6 = -5x +20 -x = 7x-6 = -6x +20
then get rid of the x on one side by either subtracting the 7x from the left side and the right or adding the 6x to the right side and left.
so 7x-6 = -6x +20 = 13x-6=20
add the 6 to both sides to get rid of it
so13x-6=20 = 13x = 26
divide both sides by 13 to get x by itself
so 13x = 26 = x=2
Voila...you done.
u can check ur work by pluggin 2 back into the original equation for x.

2006-10-11 21:30:18 · answer #3 · answered by starlove2 6 · 0 0

4x + 3(x-2) = -5(x-4)-x
4x + 3x-6 = -5x +20 - x
7x -6 = -6x +20
13x = 26
x = 2

2006-10-11 21:25:55 · answer #4 · answered by danjlil_43515 4 · 0 0

math hw?

4x+3(x-2)=-5(x-4)-x
4x+3(x)-3(2)=-5(x)+-5(-4)-x
7x-6=-5x+20-x
-6=-5x+20-x-7x
-6-20=-13x
-26=-13x
-13 -13
2=x

*check by plug 2 for x.
4(2)+3(2-2)=-5(2-4)-2
8+3(0)=-5(-2)-2
8+0=10-2
8=8

2006-10-11 21:28:04 · answer #5 · answered by !~bela 2 · 0 0

start with distributive property:
4x + 3x - 6 = 5x -20 -x
combine terms on each side:
7x - 6 = 4x -20
add 6 to each side:
7x = 4x -14
subtract 4x from each side:
3x = -14
divide both sides by 3:
x = -14/3

2006-10-11 21:22:39 · answer #6 · answered by Marcella S 5 · 0 0

you'll need to use the distribution property on this one
let's take it one step at a time
4x+(3x-6) = (-5x+20)-x
7x-6 = -6x+20
+6x +6x
13x-6=20
+6 +6
13x=26
13x/13= 26/13
x = 2

2006-10-11 21:24:35 · answer #7 · answered by Anonymous · 0 0

remove parentheses
4x+3x-6=-5x+20-x
combine like terms on each side
7x-6=-6x+20
Eliminate the -6x on the right side by adding 6x to both sides
13x-6=20
Add 6 to both sides
13x=26
divide be 13
x=2

2006-10-11 22:08:30 · answer #8 · answered by mom 7 · 0 0

4x+3x-6=-5x+20-x
7x-6=-6x+20
13x=26
x=-2
best chance

2006-10-11 21:24:48 · answer #9 · answered by adel khaled 2 · 0 0

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