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5(4x-7)-8=5(x-3)+47
We simplify the equation to the form, which is simple to understand
5(4x-7)-8=5(x-3)+47
Reorder the terms in parentheses
+(+20x-35)-8=5*(x-3)+47
Remove unnecessary parentheses
+20x-35-8=+5+*(+x-3+)+47
Reorder the terms in parentheses
+20x-35-8=+(+5x-15)+47
Remove unnecessary parentheses
+20x-35-8=+5x-15+47
We move all terms containing x to the left and all other terms to the right.
+20x-5x=-15+47+35+8
We simplify left and right side of the equation.
+15x=+75
We divide both sides of the equation by 15 to get x.
x=5
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