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2(x+1)/3=4
We move all terms to the left:
2(x+1)/3-(4)=0
We multiply all the terms by the denominator
2(x+1)-4*3=0
We add all the numbers together, and all the variables
2(x+1)-12=0
We multiply parentheses
2x+2-12=0
We add all the numbers together, and all the variables
2x-10=0
We move all terms containing x to the left, all other terms to the right
2x=10
x=10/2
x=5
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