2x-3(x+4)=5x-2(7-3x)

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Solution for 2x-3(x+4)=5x-2(7-3x) equation:



2x-3(x+4)=5x-2(7-3x)
We move all terms to the left:
2x-3(x+4)-(5x-2(7-3x))=0
We add all the numbers together, and all the variables
2x-3(x+4)-(5x-2(-3x+7))=0
We multiply parentheses
2x-3x-(5x-2(-3x+7))-12=0
We calculate terms in parentheses: -(5x-2(-3x+7)), so:
5x-2(-3x+7)
We multiply parentheses
5x+6x-14
We add all the numbers together, and all the variables
11x-14
Back to the equation:
-(11x-14)
We add all the numbers together, and all the variables
-1x-(11x-14)-12=0
We get rid of parentheses
-1x-11x+14-12=0
We add all the numbers together, and all the variables
-12x+2=0
We move all terms containing x to the left, all other terms to the right
-12x=-2
x=-2/-12
x=1/6

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