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

The answer to (x+5)/(x-5)=5 is x= 15/2

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

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

x = \frac{15}{2}

Decimal Notation

x = 7.5

Solution steps

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

Multiply both sides by

x - 5

x + 5 = 5 (x - 5)

Expand

5 (x - 5) : 5 x - 25

x + 5 = 5 x - 25

Move

5

to the right side

x = 5 x - 30

Move

5 x

to the left side

- 4 x = - 30

Divide both sides by

- 4

x = \frac{15}{2}

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = \frac{15}{2}

5 = \frac{1}{a ^{5}}

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

\frac{2}{x + 1} = 0

\frac{2}{x + 1} = 8

\frac{4}{7} = \frac{28}{x}