8(x-3)-(6-2x)=3(x+2)-4(3-2x)

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Solution for 8(x-3)-(6-2x)=3(x+2)-4(3-2x) equation:



8(x-3)-(6-2x)=3(x+2)-4(3-2x)
We move all terms to the left:
8(x-3)-(6-2x)-(3(x+2)-4(3-2x))=0
We add all the numbers together, and all the variables
8(x-3)-(-2x+6)-(3(x+2)-4(-2x+3))=0
We multiply parentheses
8x-(-2x+6)-(3(x+2)-4(-2x+3))-24=0
We get rid of parentheses
8x+2x-(3(x+2)-4(-2x+3))-6-24=0
We calculate terms in parentheses: -(3(x+2)-4(-2x+3)), so:
3(x+2)-4(-2x+3)
We multiply parentheses
3x+8x+6-12
We add all the numbers together, and all the variables
11x-6
Back to the equation:
-(11x-6)
We add all the numbers together, and all the variables
10x-(11x-6)-30=0
We get rid of parentheses
10x-11x+6-30=0
We add all the numbers together, and all the variables
-1x-24=0
We move all terms containing x to the left, all other terms to the right
-x=24
x=24/-1
x=-24

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