Solve for x
x=0
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x-5=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-5-2x=-5
Subtract 2x from both sides.
-x-5=-5
Combine x and -2x to get -x.
-x=-5+5
Add 5 to both sides.
-x=0
Add -5 and 5 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -1 is not equal to 0, x must be equal to 0.
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