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6(x+1)/5=3x-3
We move all terms to the left:
6(x+1)/5-(3x-3)=0
We get rid of parentheses
6(x+1)/5-3x+3=0
We multiply all the terms by the denominator
6(x+1)-3x*5+3*5=0
We add all the numbers together, and all the variables
6(x+1)-3x*5+15=0
We multiply parentheses
6x-3x*5+6+15=0
Wy multiply elements
6x-15x+6+15=0
We add all the numbers together, and all the variables
-9x+21=0
We move all terms containing x to the left, all other terms to the right
-9x=-21
x=-21/-9
x=2+1/3
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