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3(x+2)-4(x-1)=2(x-3)+5(2x+1)-5
We simplify the equation to the form, which is simple to understand
3(x+2)-4(x-1)=2(x-3)+5(2x+1)-5
Reorder the terms in parentheses
+(+3x+6)-4*(x-1)=2*(x-3)+5*(2x+1)-5
Remove unnecessary parentheses
+3x+6-4+*(+x-1+)=+2+*(+x-3+)+5+*(+2x+1+)-5
Reorder the terms in parentheses
+3x+6+(-4x+4)=2*(x-3)+5*(2x+1)-5
Remove unnecessary parentheses
+3x+6-4x+4=+2+*(+x-3+)+5+*(+2x+1+)-5
Reorder the terms in parentheses
+3x+6-4x+4=+(+2x-6)+5*(2x+1)-5
Remove unnecessary parentheses
+3x+6-4x+4=+2x-6+5+*(+2x+1+)-5
Reorder the terms in parentheses
+3x+6-4x+4=+2x-6+(+10x+5)-5
Remove unnecessary parentheses
+3x+6-4x+4=+2x-6+10x+5-5
We move all terms containing x to the left and all other terms to the right.
+3x-4x-2x-10x=-6+5-5-6-4
We simplify left and right side of the equation.
-13x=-16
We divide both sides of the equation by -13 to get x.
x=1.23076923077
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