What is the answer to 1/(x-1)+5=(16)/(x-1) ?

The answer to 1/(x-1)+5=(16)/(x-1) is x=4

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1/(x-1)+5=(16)/(x-1)

\frac{1}{x - 1} + 5 = \frac{16}{x - 1}

x = 4

Solution steps

\frac{1}{x - 1} + 5 = \frac{16}{x - 1}

Multiply both sides by

x - 1

1 + 5 (x - 1) = 16

Move

1

to the right side

5 (x - 1) = 15

Divide both sides by

5

x - 1 = 3

Move

1

to the right side

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 4

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

\frac{1}{\frac{1}{z}} = z

- \frac{9}{4 x} = \frac{3}{4 x - 16}

\frac{m - 5}{m - 2} = - 2

\frac{1700}{x} = \frac{200}{10}

What is the answer to 1/(x-1)+5=(16)/(x-1) ?
The answer to 1/(x-1)+5=(16)/(x-1) is x=4
Solve for x: 1/(x-1)+5=(16)/(x-1)
The solution is x=4