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5*(x-7)=3*(x-4)-13
We simplify the equation to the form, which is simple to understand
5*(x-7)=3*(x-4)-13
Reorder the terms in parentheses
+(+5x-35)=3*(x-4)-13
Remove unnecessary parentheses
+5x-35=+3+*(+x-4+)-13
Reorder the terms in parentheses
+5x-35=+(+3x-12)-13
Remove unnecessary parentheses
+5x-35=+3x-12-13
We move all terms containing x to the left and all other terms to the right.
+5x-3x=-12-13+35
We simplify left and right side of the equation.
+2x=+10
We divide both sides of the equation by 2 to get x.
x=5
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