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3x+5=10x-17/12
We move all terms to the left:
3x+5-(10x-17/12)=0
We add all the numbers together, and all the variables
3x-(+10x-17/12)+5=0
We get rid of parentheses
3x-10x+5+17/12=0
We multiply all the terms by the denominator
3x*12-10x*12+17+5*12=0
We add all the numbers together, and all the variables
3x*12-10x*12+77=0
Wy multiply elements
36x-120x+77=0
We add all the numbers together, and all the variables
-84x+77=0
We move all terms containing x to the left, all other terms to the right
-84x=-77
x=-77/-84
x=11/12
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