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4(3-x)-2(x+1)+13=3(4x-2)-6(x-5)-13
We simplify the equation to the form, which is simple to understand
4(3-x)-2(x+1)+13=3(4x-2)-6(x-5)-13
Reorder the terms in parentheses
+(+12-4x)-2*(x+1)+13=3*(4x-2)-6*(x-5)-13
Remove unnecessary parentheses
+12-4x-2+*(+x+1+)+13=+3+*(+4x-2+)-6+*(+x-5+)-13
Reorder the terms in parentheses
+12-4x+(-2x-2)+13=3*(4x-2)-6*(x-5)-13
Remove unnecessary parentheses
+12-4x-2x-2+13=+3+*(+4x-2+)-6+*(+x-5+)-13
Reorder the terms in parentheses
+12-4x-2x-2+13=+(+12x-6)-6*(x-5)-13
Remove unnecessary parentheses
+12-4x-2x-2+13=+12x-6-6+*(+x-5+)-13
Reorder the terms in parentheses
+12-4x-2x-2+13=+12x-6+(-6x+30)-13
Remove unnecessary parentheses
+12-4x-2x-2+13=+12x-6-6x+30-13
We move all terms containing x to the left and all other terms to the right.
-4x-2x-12x+6x=-6+30-13-12+2-13
We simplify left and right side of the equation.
-12x=-12
We divide both sides of the equation by -12 to get x.
x=1
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