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x/(x-3)+x/2=6x/(2x-6)
We simplify the equation to the form, which is simple to understand
x/(x-3)+x/2=6x/(2x-6)
Simplifying:
x/(x-3) + 0.5x=6x/(2x-6)
Reorder the terms in parentheses
+(+1-0.333333333333x) + 0.5x=6x/(2x-6)
Remove unnecessary parentheses
+1-0.333333333333x + 0.5x=+6x+/(+2x-6+)
Reorder the terms in parentheses
+1-0.333333333333x + 0.5x=+(+3-1x)
Remove unnecessary parentheses
+1-0.333333333333x + 0.5x=+3-1x
We move all terms containing x to the left and all other terms to the right.
-0.333333333333x + 0.5x+1x=+3-1
We simplify left and right side of the equation.
+1.16666666667x=+2
We divide both sides of the equation by 1.16666666667 to get x.
x=1.71428571429
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