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5(x-8)-10(3-x)=7(x-2)
We simplify the equation to the form, which is simple to understand
5(x-8)-10(3-x)=7(x-2)
Reorder the terms in parentheses
+(+5x-40)-10*(3-x)=7*(x-2)
Remove unnecessary parentheses
+5x-40-10+*(+3-x+)=+7+*(+x-2+)
Reorder the terms in parentheses
+5x-40+(-30+10x)=7*(x-2)
Remove unnecessary parentheses
+5x-40-30+10x=+7+*(+x-2+)
Reorder the terms in parentheses
+5x-40-30+10x=+(+7x-14)
Remove unnecessary parentheses
+5x-40-30+10x=+7x-14
We move all terms containing x to the left and all other terms to the right.
+5x+10x-7x=-14+40+30
We simplify left and right side of the equation.
+8x=+56
We divide both sides of the equation by 8 to get x.
x=7
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