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(x+1)/2-(2-4x)/5+(1-3x)/2=-9/5
We simplify the equation to the form, which is simple to understand
(x+1)/2-(2-4x)/5+(1-3x)/2=-9/5
Simplifying:
(x+1)/2-(2-4x)/5+(1-3x)/2=-1.8
Reorder the terms in parentheses
( + 0.5x + 0.5)-(2-4x)/5+(1-3x)/2=-1.8
Remove unnecessary parentheses
+ 0.5x + 0.5-(2-4x)/5+(1-3x)/2=-1.8
Reorder the terms in parentheses
+ 0.5x + 0.5-( + 0.4-0.8x)+(1-3x)/2=-1.8
Remove unnecessary parentheses
+ 0.5x + 0.5-0.4 + 0.8x+(1-3x)/2=-1.8
Reorder the terms in parentheses
+ 0.5x + 0.5-0.4 + 0.8x+( + 0.5-1.5x)=-1.8
Remove unnecessary parentheses
+ 0.5x + 0.5-0.4 + 0.8x + 0.5-1.5x=-1.8
We move all terms containing x to the left and all other terms to the right.
+ 0.5x + 0.8x-1.5x=-1.8-0.5 + 0.4-0.5
We simplify left and right side of the equation.
-0.2x=-2.4
We divide both sides of the equation by -0.2 to get x.
x=12
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