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2(x+4)/3=4x-3
We move all terms to the left:
2(x+4)/3-(4x-3)=0
We get rid of parentheses
2(x+4)/3-4x+3=0
We multiply all the terms by the denominator
2(x+4)-4x*3+3*3=0
We add all the numbers together, and all the variables
2(x+4)-4x*3+9=0
We multiply parentheses
2x-4x*3+8+9=0
Wy multiply elements
2x-12x+8+9=0
We add all the numbers together, and all the variables
-10x+17=0
We move all terms containing x to the left, all other terms to the right
-10x=-17
x=-17/-10
x=1+7/10
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