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5(x-3)-7(6-x)=21-3(8-x)
We simplify the equation to the form, which is simple to understand
5(x-3)-7(6-x)=21-3(8-x)
Reorder the terms in parentheses
+(+5x-15)-7*(6-x)=21-3*(8-x)
Remove unnecessary parentheses
+5x-15-7+*(+6-x+)=+21-3+*(+8-x+)
Reorder the terms in parentheses
+5x-15+(-42+7x)=21-3*(8-x)
Remove unnecessary parentheses
+5x-15-42+7x=+21-3+*(+8-x+)
Reorder the terms in parentheses
+5x-15-42+7x=21+(-24+3x)
Remove unnecessary parentheses
+5x-15-42+7x=+21-24+3x
We move all terms containing x to the left and all other terms to the right.
+5x+7x-3x=+21-24+15+42
We simplify left and right side of the equation.
+9x=+54
We divide both sides of the equation by 9 to get x.
x=6
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