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5(x-10)=2(x-100)+21
We simplify the equation to the form, which is simple to understand
5(x-10)=2(x-100)+21
Reorder the terms in parentheses
+(+5x-50)=2*(x-100)+21
Remove unnecessary parentheses
+5x-50=+2+*(+x-100+)+21
Reorder the terms in parentheses
+5x-50=+(+2x-200)+21
Remove unnecessary parentheses
+5x-50=+2x-200+21
We move all terms containing x to the left and all other terms to the right.
+5x-2x=-200+21+50
We simplify left and right side of the equation.
+3x=-129
We divide both sides of the equation by 3 to get x.
x=-43
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