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(2x+300)/3+39=(5x-150)/4+(8x+120)/4
We simplify the equation to the form, which is simple to understand
(2x+300)/3+39=(5x-150)/4+(8x+120)/4
Reorder the terms in parentheses
( + 0.666666666667x+100)+39=(5x-150)/4+(8x+120)/4
Remove unnecessary parentheses
+ 0.666666666667x+100+39=(5x-150)/4+(8x+120)/4
Reorder the terms in parentheses
+ 0.666666666667x+100+39=(+1.25x-37.5)+(8x+120)/4
Remove unnecessary parentheses
+ 0.666666666667x+100+39=+1.25x-37.5+(8x+120)/4
Reorder the terms in parentheses
+ 0.666666666667x+100+39=+1.25x-37.5+(+2x+30)
Remove unnecessary parentheses
+ 0.666666666667x+100+39=+1.25x-37.5+2x+30
We move all terms containing x to the left and all other terms to the right.
+ 0.666666666667x-1.25x-2x=-37.5+30-100-39
We simplify left and right side of the equation.
-2.58333333333x=-146.5
We divide both sides of the equation by -2.58333333333 to get x.
x=56.7096774194
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