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2(x+3)/5=4x-2
We move all terms to the left:
2(x+3)/5-(4x-2)=0
We get rid of parentheses
2(x+3)/5-4x+2=0
We multiply all the terms by the denominator
2(x+3)-4x*5+2*5=0
We add all the numbers together, and all the variables
2(x+3)-4x*5+10=0
We multiply parentheses
2x-4x*5+6+10=0
Wy multiply elements
2x-20x+6+10=0
We add all the numbers together, and all the variables
-18x+16=0
We move all terms containing x to the left, all other terms to the right
-18x=-16
x=-16/-18
x=8/9
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