Move to the left side of the equation by subtracting it from both sides.

Move to the left side of the equation by adding it to both sides.

Combine the numerators over the common denominator.

Cancel the common factor of and .

Rewrite as .

Factor out of .

Factor out of .

Reorder terms.

Cancel the common factor.

Divide by .

To write as a fraction with a common denominator, multiply by .

Combine and .

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by .

Add and .

Combine the numerators over the common denominator.

Rewrite as .

Factor out of .

Factor out of .

Reorder terms.

Cancel the common factor.

Divide by .

To write as a fraction with a common denominator, multiply by .

Combine and .

Combine the numerators over the common denominator.

Multiply by .

Add and .

Since , there are no solutions.

No solution

Solve by Factoring 5/(x-5)=x/(x-5)-5/4