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6(x-1)=9(2-x)
We move all terms to the left:
6(x-1)-(9(2-x))=0
We add all the numbers together, and all the variables
6(x-1)-(9(-1x+2))=0
We multiply parentheses
6x-(9(-1x+2))-6=0
We calculate terms in parentheses: -(9(-1x+2)), so:We get rid of parentheses
9(-1x+2)
We multiply parentheses
-9x+18
Back to the equation:
-(-9x+18)
6x+9x-18-6=0
We add all the numbers together, and all the variables
15x-24=0
We move all terms containing x to the left, all other terms to the right
15x=24
x=24/15
x=1+3/5
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