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9(4x-5)=6(3-x)
We move all terms to the left:
9(4x-5)-(6(3-x))=0
We add all the numbers together, and all the variables
9(4x-5)-(6(-1x+3))=0
We multiply parentheses
36x-(6(-1x+3))-45=0
We calculate terms in parentheses: -(6(-1x+3)), so:We get rid of parentheses
6(-1x+3)
We multiply parentheses
-6x+18
Back to the equation:
-(-6x+18)
36x+6x-18-45=0
We add all the numbers together, and all the variables
42x-63=0
We move all terms containing x to the left, all other terms to the right
42x=63
x=63/42
x=1+1/2
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