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(2/3)x-9=(x/5)+(24/5)
We simplify the equation to the form, which is simple to understand
(2/3)x-9=(x/5)+(24/5)
Reorder the terms in parentheses
( + 0.66666666666667x)-9=( + 0.2x)+(+4.8)
Remove unnecessary parentheses
+ 0.66666666666667x-9=( + 0.2x)+(+4.8)
Remove unnecessary parentheses
+ 0.66666666666667x-9=0.2x+(+4.8)
Remove unnecessary parentheses
+ 0.66666666666667x-9=0.2x+4.8
We move all terms containing x to the left and all other terms to the right.
+ 0.66666666666667x-0.2x=+4.8+9
We simplify left and right side of the equation.
+ 0.46666666666667x=+13.8
We divide both sides of the equation by 0.46666666666667 to get x.
x=29.571428571429
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