What is the answer to 1/(x-2)+5=(21)/(x-2) ?

The answer to 1/(x-2)+5=(21)/(x-2) is x=6

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1/(x-2)+5=(21)/(x-2)

\frac{1}{x - 2} + 5 = \frac{21}{x - 2}

x = 6

Solution steps

\frac{1}{x - 2} + 5 = \frac{21}{x - 2}

Multiply both sides by

x - 2

1 + 5 (x - 2) = 21

Move

1

to the right side

5 (x - 2) = 20

Divide both sides by

5

x - 2 = 4

Move

2

to the right side

x = 6

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 6

\frac{x ^{2}}{x ^{2} - 1} = 0

\frac{4 ( x - 2 )}{x - 3} = 3

y, \frac{y + 1}{y - 1} = x

\frac{x}{2 x - 4} - 7 = \frac{1}{x - 2}

5 x = \frac{5}{x}

What is the answer to 1/(x-2)+5=(21)/(x-2) ?
The answer to 1/(x-2)+5=(21)/(x-2) is x=6
Solve for x: 1/(x-2)+5=(21)/(x-2)
The solution is x=6