What is the answer to 1/(x-2)+4=(13)/(x-2) ?

The answer to 1/(x-2)+4=(13)/(x-2) is x=5

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1/(x-2)+4=(13)/(x-2)

\frac{1}{x - 2} + 4 = \frac{13}{x - 2}

x = 5

Solution steps

\frac{1}{x - 2} + 4 = \frac{13}{x - 2}

Multiply both sides by

x - 2

1 + 4 (x - 2) = 13

Move

1

to the right side

4 (x - 2) = 12

Divide both sides by

4

x - 2 = 3

Move

2

to the right side

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 5

p, Q = \frac{1}{p ^{2}}

x, R = \frac{y}{x} (100)

x, y = \frac{6 x - 5}{x - 4}

7 - \frac{3}{x} = 10

\frac{2}{3 x + 5} = 3

What is the answer to 1/(x-2)+4=(13)/(x-2) ?
The answer to 1/(x-2)+4=(13)/(x-2) is x=5
Solve for x: 1/(x-2)+4=(13)/(x-2)
The solution is x=5