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(3x+12)/4=2-(5x-7)/3
We simplify the equation to the form, which is simple to understand
(3x+12)/4=2-(5x-7)/3
Reorder the terms in parentheses
( + 0.75x+3)=2-(5x-7)/3
Remove unnecessary parentheses
+ 0.75x+3=2-(5x-7)/3
Reorder the terms in parentheses
+ 0.75x+3=2-(+1.66666666667x-2.33333333333)
Remove unnecessary parentheses
+ 0.75x+3=2-1.66666666667x+2.33333333333
We move all terms containing x to the left and all other terms to the right.
+ 0.75x+1.66666666667x=+2+2.33333333333-3
We simplify left and right side of the equation.
+2.41666666667x=+1.33333333333
We divide both sides of the equation by 2.41666666667 to get x.
x=0.551724137929
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