What is the answer to x+x/(x-5)= 5/(x-5) ?

The answer to x+x/(x-5)= 5/(x-5) is x=-1

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x+x/(x-5)= 5/(x-5)

x + \frac{x}{x - 5} = \frac{5}{x - 5}

x = - 1

Solution steps

x + \frac{x}{x - 5} = \frac{5}{x - 5}

Multiply both sides by

x - 5

x (x - 5) + x = 5

Solve

x (x - 5) + x = 5 : x = 5, x = - 1

x = 5, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 5

Since the equation is undefined for:

5

x = - 1

\frac{3}{2} = \frac{3}{x}

R, g = \frac{k}{( R + h ) ^{2}}

\frac{4}{x + 1} - \frac{3}{2} = \frac{6}{3 x + 3}

y, x = \frac{y ^{2} + 3}{3 y ^{2}}

\frac{3}{6} = \frac{11}{a}

What is the answer to x+x/(x-5)= 5/(x-5) ?
The answer to x+x/(x-5)= 5/(x-5) is x=-1
Solve for x: x+x/(x-5)= 5/(x-5)
The solution is x=-1