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(29.5-.5x)/4=(22.5-.5x)/3
We simplify the equation to the form, which is simple to understand
(29.5-.5x)/4=(22.5-.5x)/3
Reorder the terms in parentheses
(+7.375-0.125x)=(22.5-.5x)/3
Remove unnecessary parentheses
+7.375-0.125x=(22.5-.5x)/3
Reorder the terms in parentheses
+7.375-0.125x=(+7.5-0.16666666666667x)
Remove unnecessary parentheses
+7.375-0.125x=+7.5-0.16666666666667x
We move all terms containing x to the left and all other terms to the right.
-0.125x + 0.16666666666667x=+7.5-7.375
We simplify left and right side of the equation.
+ 0.04166666666667x=0.125
We divide both sides of the equation by 0.04166666666667 to get x.
x=2.9999999999998
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