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5(x+1)/3=6x-2
We move all terms to the left:
5(x+1)/3-(6x-2)=0
We get rid of parentheses
5(x+1)/3-6x+2=0
We multiply all the terms by the denominator
5(x+1)-6x*3+2*3=0
We add all the numbers together, and all the variables
5(x+1)-6x*3+6=0
We multiply parentheses
5x-6x*3+5+6=0
Wy multiply elements
5x-18x+5+6=0
We add all the numbers together, and all the variables
-13x+11=0
We move all terms containing x to the left, all other terms to the right
-13x=-11
x=-11/-13
x=11/13
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