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(x+1)/2-(6x+7)/8=(4-3x)/5-1/8
We simplify the equation to the form, which is simple to understand
(x+1)/2-(6x+7)/8=(4-3x)/5-1/8
Reorder the terms in parentheses
( + 0.5x + 0.5)-(6x+7)/8=(4-3x)/5-0.125
Remove unnecessary parentheses
+ 0.5x + 0.5-(6x+7)/8=(4-3x)/5-0.125
Reorder the terms in parentheses
+ 0.5x + 0.5-( + 0.75x + 0.875)=(4-3x)/5-0.125
Remove unnecessary parentheses
+ 0.5x + 0.5-0.75x-0.875=(4-3x)/5-0.125
Reorder the terms in parentheses
+ 0.5x + 0.5-0.75x-0.875=( + 0.8-0.6x)-0.125
Remove unnecessary parentheses
+ 0.5x + 0.5-0.75x-0.875=0.8-0.6x-0.125
We move all terms containing x to the left and all other terms to the right.
+ 0.5x-0.75x + 0.6x=0.8-0.125-0.5 + 0.875
We simplify left and right side of the equation.
+ 0.35x=+1.05
We divide both sides of the equation by 0.35 to get x.
x=3
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