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(x-4)/2-(2x-3)/3=1/5
We simplify the equation to the form, which is simple to understand
(x-4)/2-(2x-3)/3=1/5
Simplifying:
(x-4)/2-(2x-3)/3=0.2
Reorder the terms in parentheses
( + 0.5x-2)-(2x-3)/3=0.2
Remove unnecessary parentheses
+ 0.5x-2-(2x-3)/3=0.2
Reorder the terms in parentheses
+ 0.5x-2-( + 0.666666666667x-1)=0.2
Remove unnecessary parentheses
+ 0.5x-2-0.666666666667x+1=0.2
We move all terms containing x to the left and all other terms to the right.
+ 0.5x-0.666666666667x=0.2+2-1
We simplify left and right side of the equation.
-0.166666666667x=+1.2
We divide both sides of the equation by -0.166666666667 to get x.
x=-7.19999999999
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