What is the answer to 1/(x-1)+5=(21)/(x-1) ?

The answer to 1/(x-1)+5=(21)/(x-1) is x=5

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1/(x-1)+5=(21)/(x-1)

\frac{1}{x - 1} + 5 = \frac{21}{x - 1}

x = 5

Solution steps

\frac{1}{x - 1} + 5 = \frac{21}{x - 1}

Multiply both sides by

x - 1

1 + 5 (x - 1) = 21

Move

1

to the right side

5 (x - 1) = 20

Divide both sides by

5

x - 1 = 4

Move

1

to the right side

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 5

\frac{1}{x - 2} - \frac{1}{x - 1} = 2

s, R = \frac{g s}{g + s}

\frac{9}{x + 1} = \frac{3}{7}

\frac{x + 35}{x + 50} = 0.75

\frac{12}{x} - 1 = 2

What is the answer to 1/(x-1)+5=(21)/(x-1) ?
The answer to 1/(x-1)+5=(21)/(x-1) is x=5
Solve for x: 1/(x-1)+5=(21)/(x-1)
The solution is x=5