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

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



3(x-6)=2(9-3x)
We move all terms to the left:
3(x-6)-(2(9-3x))=0
We add all the numbers together, and all the variables
3(x-6)-(2(-3x+9))=0
We multiply parentheses
3x-(2(-3x+9))-18=0
We calculate terms in parentheses: -(2(-3x+9)), so:
2(-3x+9)
We multiply parentheses
-6x+18
Back to the equation:
-(-6x+18)
We get rid of parentheses
3x+6x-18-18=0
We add all the numbers together, and all the variables
9x-36=0
We move all terms containing x to the left, all other terms to the right
9x=36
x=36/9
x=4

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