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2(x+3)-(2-x)=4(2x-3)-2(2-3x)-13
We simplify the equation to the form, which is simple to understand
2(x+3)-(2-x)=4(2x-3)-2(2-3x)-13
Reorder the terms in parentheses
+(+2x+6)-(2-x)=4*(2x-3)-2*(2-3x)-13
Remove unnecessary parentheses
+2x+6-(+2-x+)=+4+*(+2x-3+)-2+*(+2-3x+)-13
Remove unnecessary parentheses
+2x+6-2+1x=4*(2x-3)-2*(2-3x)-13
Reorder the terms in parentheses
+2x+6-2+1x=+(+8x-12)-2*(2-3x)-13
Remove unnecessary parentheses
+2x+6-2+1x=+8x-12-2+*(+2-3x+)-13
Reorder the terms in parentheses
+2x+6-2+1x=+8x-12+(-4+6x)-13
Remove unnecessary parentheses
+2x+6-2+1x=+8x-12-4+6x-13
We move all terms containing x to the left and all other terms to the right.
+2x+1x-8x-6x=-12-4-13-6+2
We simplify left and right side of the equation.
-11x=-33
We divide both sides of the equation by -11 to get x.
x=3
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