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x-6=2x-5
Variable x cannot be equal to \frac{5}{2} since division by zero is not defined. Multiply both sides of the equation by 2x-5, the least common multiple of 2x-5,5-2x.
x-6-2x=-5
Subtract 2x from both sides.
-x-6=-5
Combine x and -2x to get -x.
-x=-5+6
Add 6 to both sides.
-x=1
Add -5 and 6 to get 1.
x=-1
Multiply both sides by -1.