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5(x-100)=2(x-100+21)
We simplify the equation to the form, which is simple to understand
5(x-100)=2(x-100+21)
Simplifying terms in parentheses
5*(x-100)=2*(-79+1x)
Reorder the terms in parentheses
+(+5x-500)=2*(-79+1x)
Remove unnecessary parentheses
+5x-500=+2+*(-79+1x+)
Reorder the terms in parentheses
+5x-500=+(-158+2x)
Remove unnecessary parentheses
+5x-500=-158+2x
We move all terms containing x to the left and all other terms to the right.
+5x-2x=-158+500
We simplify left and right side of the equation.
+3x=+342
We divide both sides of the equation by 3 to get x.
x=114
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