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9(2x-18)=12(13-x)
We move all terms to the left:
9(2x-18)-(12(13-x))=0
We add all the numbers together, and all the variables
9(2x-18)-(12(-1x+13))=0
We multiply parentheses
18x-(12(-1x+13))-162=0
We calculate terms in parentheses: -(12(-1x+13)), so:We get rid of parentheses
12(-1x+13)
We multiply parentheses
-12x+156
Back to the equation:
-(-12x+156)
18x+12x-156-162=0
We add all the numbers together, and all the variables
30x-318=0
We move all terms containing x to the left, all other terms to the right
30x=318
x=318/30
x=10+3/5
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