2(x-6)=3(18-3x)

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Solution for 2(x-6)=3(18-3x) equation:



2(x-6)=3(18-3x)
We move all terms to the left:
2(x-6)-(3(18-3x))=0
We add all the numbers together, and all the variables
2(x-6)-(3(-3x+18))=0
We multiply parentheses
2x-(3(-3x+18))-12=0
We calculate terms in parentheses: -(3(-3x+18)), so:
3(-3x+18)
We multiply parentheses
-9x+54
Back to the equation:
-(-9x+54)
We get rid of parentheses
2x+9x-54-12=0
We add all the numbers together, and all the variables
11x-66=0
We move all terms containing x to the left, all other terms to the right
11x=66
x=66/11
x=6

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