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(5*x+6)/9-(12-x)/6=x/2
We simplify the equation to the form, which is simple to understand
(5*x+6)/9-(12-x)/6=x/2
Simplifying:
(+5x+6)/9-(12-x)/6=x/2
Simplifying:
(+5x+6)/9-(12-x)/6=0.5x
Reorder the terms in parentheses
( + 0.555555555556x + 0.666666666667)-(12-x)/6=0.5x
Remove unnecessary parentheses
+ 0.555555555556x + 0.666666666667-(12-x)/6=0.5x
Reorder the terms in parentheses
+ 0.555555555556x + 0.666666666667-(+2-0.166666666667x)=0.5x
Remove unnecessary parentheses
+ 0.555555555556x + 0.666666666667-2 + 0.166666666667x=0.5x
We move all terms containing x to the left and all other terms to the right.
+ 0.555555555556x + 0.166666666667x-0.5x=-0.666666666667+2
We simplify left and right side of the equation.
+ 0.222222222223x=+1.33333333333
We divide both sides of the equation by 0.222222222223 to get x.
x=5.99999999999
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