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4(x-1)-3(x-5)=6(x-3)+13
We simplify the equation to the form, which is simple to understand
4(x-1)-3(x-5)=6(x-3)+13
Reorder the terms in parentheses
+(+4x-4)-3*(x-5)=6*(x-3)+13
Remove unnecessary parentheses
+4x-4-3+*(+x-5+)=+6+*(+x-3+)+13
Reorder the terms in parentheses
+4x-4+(-3x+15)=6*(x-3)+13
Remove unnecessary parentheses
+4x-4-3x+15=+6+*(+x-3+)+13
Reorder the terms in parentheses
+4x-4-3x+15=+(+6x-18)+13
Remove unnecessary parentheses
+4x-4-3x+15=+6x-18+13
We move all terms containing x to the left and all other terms to the right.
+4x-3x-6x=-18+13+4-15
We simplify left and right side of the equation.
-5x=-16
We divide both sides of the equation by -5 to get x.
x=3.2
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