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(1/4)x-(7/8)-(3/4)x+(1/2)=(1/10)x-(1/5)
We simplify the equation to the form, which is simple to understand
(1/4)x-(7/8)-(3/4)x+(1/2)=(1/10)x-(1/5)
Reorder the terms in parentheses
( + 0.25x)-( + 0.875)-( + 0.75)*x+( + 0.5)=( + 0.1)*x-( + 0.2)
Remove unnecessary parentheses
+ 0.25x-( + 0.875)-( + 0.75)*x+( + 0.5)=( + 0.1)*x-( + 0.2)
Remove unnecessary parentheses
+ 0.25x-0.875-( + 0.75)*x+( + 0.5)=( + 0.1)*x-( + 0.2)
Reorder the terms in parentheses
+ 0.25x-0.875-( + 0.75x)+( + 0.5)=( + 0.1)*x-( + 0.2)
Remove unnecessary parentheses
+ 0.25x-0.875-0.75x+( + 0.5)=( + 0.1)*x-( + 0.2)
Remove unnecessary parentheses
+ 0.25x-0.875-0.75x + 0.5=+( + 0.1+)+*x-( + 0.2+)
Reorder the terms in parentheses
+ 0.25x-0.875-0.75x + 0.5=( + 0.1x)-( + 0.2)
Remove unnecessary parentheses
+ 0.25x-0.875-0.75x + 0.5=0.1x-( + 0.2)
Remove unnecessary parentheses
+ 0.25x-0.875-0.75x + 0.5=0.1x-0.2
We move all terms containing x to the left and all other terms to the right.
+ 0.25x-0.75x-0.1x=-0.2 + 0.875-0.5
We simplify left and right side of the equation.
-0.6x=0.175
We divide both sides of the equation by -0.6 to get x.
x=-0.29166666666667
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