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3(x-5)-5(x-3)=x+7-(x-7)
We simplify the equation to the form, which is simple to understand
3(x-5)-5(x-3)=x+7-(x-7)
Reorder the terms in parentheses
+(+3x-15)-5*(x-3)=x+7-(x-7)
Remove unnecessary parentheses
+3x-15-5+*(+x-3+)=+x+7-(+x-7+)
Reorder the terms in parentheses
+3x-15+(-5x+15)=x+7-(x-7)
Remove unnecessary parentheses
+3x-15-5x+15=+x+7-(+x-7+)
Remove unnecessary parentheses
+3x-15-5x+15=x+7-1x+7
We move all terms containing x to the left and all other terms to the right.
+3x-5x-1x+1x=+7+7+15-15
We simplify left and right side of the equation.
-2x=+14
We divide both sides of the equation by -2 to get x.
x=-7
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