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(x-12)/5+3x/4=(x+6)/2
We simplify the equation to the form, which is simple to understand
(x-12)/5+3x/4=(x+6)/2
Simplifying:
(x-12)/5 + 0.75x=(x+6)/2
Reorder the terms in parentheses
( + 0.2x-2.4) + 0.75x=(x+6)/2
Remove unnecessary parentheses
+ 0.2x-2.4 + 0.75x=(x+6)/2
Reorder the terms in parentheses
+ 0.2x-2.4 + 0.75x=( + 0.5x+3)
Remove unnecessary parentheses
+ 0.2x-2.4 + 0.75x=0.5x+3
We move all terms containing x to the left and all other terms to the right.
+ 0.2x + 0.75x-0.5x=+3+2.4
We simplify left and right side of the equation.
+ 0.45x=+5.4
We divide both sides of the equation by 0.45 to get x.
x=12
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