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2x/(x-2)-4(x-2)=2
We simplify the equation to the form, which is simple to understand
2x/(x-2)-4(x-2)=2
Reorder the terms in parentheses
+(+2-1x)-4*(x-2)=2
Remove unnecessary parentheses
+2-1x-4+*(+x-2+)=+2
Reorder the terms in parentheses
+2-1x+(-4x+8)=2
Remove unnecessary parentheses
+2-1x-4x+8=+2
We move all terms containing x to the left and all other terms to the right.
-1x-4x=+2-2-8
We simplify left and right side of the equation.
-5x=-8
We divide both sides of the equation by -5 to get x.
x=1.6
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