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(4x-2)/3=5x+3
We move all terms to the left:
(4x-2)/3-(5x+3)=0
We get rid of parentheses
(4x-2)/3-5x-3=0
We multiply all the terms by the denominator
(4x-2)-5x*3-3*3=0
We add all the numbers together, and all the variables
(4x-2)-5x*3-9=0
Wy multiply elements
(4x-2)-15x-9=0
We get rid of parentheses
4x-15x-2-9=0
We add all the numbers together, and all the variables
-11x-11=0
We move all terms containing x to the left, all other terms to the right
-11x=11
x=11/-11
x=-1
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