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(3x+2)/7-(x+4)/5=2
We simplify the equation to the form, which is simple to understand
(3x+2)/7-(x+4)/5=2
Reorder the terms in parentheses
( + 0.428571428571x + 0.285714285714)-(x+4)/5=2
Remove unnecessary parentheses
+ 0.428571428571x + 0.285714285714-(x+4)/5=2
Reorder the terms in parentheses
+ 0.428571428571x + 0.285714285714-( + 0.2x + 0.8)=2
Remove unnecessary parentheses
+ 0.428571428571x + 0.285714285714-0.2x-0.8=2
We move all terms containing x to the left and all other terms to the right.
+ 0.428571428571x-0.2x=+2-0.285714285714 + 0.8
We simplify left and right side of the equation.
+ 0.228571428571x=+2.51428571429
We divide both sides of the equation by 0.228571428571 to get x.
x=11
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