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10(2x+15)-15(x+10)=9(10-x)+100(x+12)
We move all terms to the left:
10(2x+15)-15(x+10)-(9(10-x)+100(x+12))=0
We add all the numbers together, and all the variables
10(2x+15)-15(x+10)-(9(-1x+10)+100(x+12))=0
We multiply parentheses
20x-15x-(9(-1x+10)+100(x+12))+150-150=0
We calculate terms in parentheses: -(9(-1x+10)+100(x+12)), so:We add all the numbers together, and all the variables
9(-1x+10)+100(x+12)
We multiply parentheses
-9x+100x+90+1200
We add all the numbers together, and all the variables
91x+1290
Back to the equation:
-(91x+1290)
5x-(91x+1290)=0
We get rid of parentheses
5x-91x-1290=0
We add all the numbers together, and all the variables
-86x-1290=0
We move all terms containing x to the left, all other terms to the right
-86x=1290
x=1290/-86
x=-15
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