2(3x-6)=9(12-x)

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Solution for 2(3x-6)=9(12-x) equation:



2(3x-6)=9(12-x)
We move all terms to the left:
2(3x-6)-(9(12-x))=0
We add all the numbers together, and all the variables
2(3x-6)-(9(-1x+12))=0
We multiply parentheses
6x-(9(-1x+12))-12=0
We calculate terms in parentheses: -(9(-1x+12)), so:
9(-1x+12)
We multiply parentheses
-9x+108
Back to the equation:
-(-9x+108)
We get rid of parentheses
6x+9x-108-12=0
We add all the numbers together, and all the variables
15x-120=0
We move all terms containing x to the left, all other terms to the right
15x=120
x=120/15
x=8

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