What is the answer to 1/(x-2)+2= 7/(x-2) ?

The answer to 1/(x-2)+2= 7/(x-2) is x=5

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1/(x-2)+2= 7/(x-2)

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

x = 5

Solution steps

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

Multiply both sides by

x - 2

1 + 2 (x - 2) = 7

Move

1

to the right side

2 (x - 2) = 6

Divide both sides by

2

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

\frac{x - 8}{x - 3} = \frac{- 4}{x}

a, 5 q = \frac{f}{a} + g

\frac{3}{x + 6} = \frac{6}{x - 1}

\frac{( - 6 - 6 )}{x} = - 4

0 = \frac{2}{n - 2} - \frac{6}{n + 1}

What is the answer to 1/(x-2)+2= 7/(x-2) ?
The answer to 1/(x-2)+2= 7/(x-2) is x=5
Solve for x: 1/(x-2)+2= 7/(x-2)
The solution is x=5