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(x+5)/4-(2x+1)/8=0,5(2-x)
We simplify the equation to the form, which is simple to understand
(x+5)/4-(2x+1)/8=0,5(2-x)
Reorder the terms in parentheses
( + 0.25x+1.25)-(2x+1)/8=0,5*(2-x)
Remove unnecessary parentheses
+ 0.25x+1.25-(2x+1)/8=0,5*(2-x)
Reorder the terms in parentheses
+ 0.25x+1.25-( + 0.25x + 0.125)=0,5*(2-x)
Remove unnecessary parentheses
+ 0.25x+1.25-0.25x-0.125=0,5*(2-x)
Reorder the terms in parentheses
+ 0.25x+1.25-0.25x-0.125=+(+1-0.5x)
Remove unnecessary parentheses
+ 0.25x+1.25-0.25x-0.125=+1-0.5x
We move all terms containing x to the left and all other terms to the right.
+ 0.25x-0.25x + 0.5x=+1-1.25 + 0.125
We simplify left and right side of the equation.
+ 0.5x=-0.125
We divide both sides of the equation by 0.5 to get x.
x=-0.25
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