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4(x+6)/3=5x-2
We move all terms to the left:
4(x+6)/3-(5x-2)=0
We get rid of parentheses
4(x+6)/3-5x+2=0
We multiply all the terms by the denominator
4(x+6)-5x*3+2*3=0
We add all the numbers together, and all the variables
4(x+6)-5x*3+6=0
We multiply parentheses
4x-5x*3+24+6=0
Wy multiply elements
4x-15x+24+6=0
We add all the numbers together, and all the variables
-11x+30=0
We move all terms containing x to the left, all other terms to the right
-11x=-30
x=-30/-11
x=2+8/11
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