3x-3(2-3x)=5(x-3)-12

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Solution for 3x-3(2-3x)=5(x-3)-12 equation:



3x-3(2-3x)=5(x-3)-12
We move all terms to the left:
3x-3(2-3x)-(5(x-3)-12)=0
We add all the numbers together, and all the variables
3x-3(-3x+2)-(5(x-3)-12)=0
We multiply parentheses
3x+9x-(5(x-3)-12)-6=0
We calculate terms in parentheses: -(5(x-3)-12), so:
5(x-3)-12
We multiply parentheses
5x-15-12
We add all the numbers together, and all the variables
5x-27
Back to the equation:
-(5x-27)
We add all the numbers together, and all the variables
12x-(5x-27)-6=0
We get rid of parentheses
12x-5x+27-6=0
We add all the numbers together, and all the variables
7x+21=0
We move all terms containing x to the left, all other terms to the right
7x=-21
x=-21/7
x=-3

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