What is the answer to 1+x/(x-5)= 1/(x-5) ?

The answer to 1+x/(x-5)= 1/(x-5) is x=3

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1+x/(x-5)= 1/(x-5)

1 + \frac{x}{x - 5} = \frac{1}{x - 5}

x = 3

Solution steps

1 + \frac{x}{x - 5} = \frac{1}{x - 5}

Multiply both sides by

x - 5

2 x - 5 = 1

Move

5

to the right side

2 x = 6

Divide both sides by

2

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = 3

\frac{1}{2 x + 6} - \frac{x}{x + 3} = 0

13 - \frac{28}{x} = 4 + \frac{8}{x}

\frac{x}{x - 6} = \frac{x - 2}{x + 6}

\frac{36}{x} = \frac{42}{28}

\frac{45}{x + 3} = \frac{20}{10 - x}

What is the answer to 1+x/(x-5)= 1/(x-5) ?
The answer to 1+x/(x-5)= 1/(x-5) is x=3
Solve for x: 1+x/(x-5)= 1/(x-5)
The solution is x=3