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5(2x+1)-3(2x-1)=2(3x-2)
We simplify the equation to the form, which is simple to understand
5(2x+1)-3(2x-1)=2(3x-2)
Reorder the terms in parentheses
+(+10x+5)-3*(2x-1)=2*(3x-2)
Remove unnecessary parentheses
+10x+5-3+*(+2x-1+)=+2+*(+3x-2+)
Reorder the terms in parentheses
+10x+5+(-6x+3)=2*(3x-2)
Remove unnecessary parentheses
+10x+5-6x+3=+2+*(+3x-2+)
Reorder the terms in parentheses
+10x+5-6x+3=+(+6x-4)
Remove unnecessary parentheses
+10x+5-6x+3=+6x-4
We move all terms containing x to the left and all other terms to the right.
+10x-6x-6x=-4-5-3
We simplify left and right side of the equation.
-2x=-12
We divide both sides of the equation by -2 to get x.
x=6
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