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4(x+6)/3=3x-3
We move all terms to the left:
4(x+6)/3-(3x-3)=0
We get rid of parentheses
4(x+6)/3-3x+3=0
We multiply all the terms by the denominator
4(x+6)-3x*3+3*3=0
We add all the numbers together, and all the variables
4(x+6)-3x*3+9=0
We multiply parentheses
4x-3x*3+24+9=0
Wy multiply elements
4x-9x+24+9=0
We add all the numbers together, and all the variables
-5x+33=0
We move all terms containing x to the left, all other terms to the right
-5x=-33
x=-33/-5
x=6+3/5