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5x-6(x-7)=8x-9(10-x)
We move all terms to the left:
5x-6(x-7)-(8x-9(10-x))=0
We add all the numbers together, and all the variables
5x-6(x-7)-(8x-9(-1x+10))=0
We multiply parentheses
5x-6x-(8x-9(-1x+10))+42=0
We calculate terms in parentheses: -(8x-9(-1x+10)), so:We add all the numbers together, and all the variables
8x-9(-1x+10)
We multiply parentheses
8x+9x-90
We add all the numbers together, and all the variables
17x-90
Back to the equation:
-(17x-90)
-1x-(17x-90)+42=0
We get rid of parentheses
-1x-17x+90+42=0
We add all the numbers together, and all the variables
-18x+132=0
We move all terms containing x to the left, all other terms to the right
-18x=-132
x=-132/-18
x=7+1/3
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