What is the answer to 1/(x-3)+2= 9/(x-3) ?

The answer to 1/(x-3)+2= 9/(x-3) is x=7

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1/(x-3)+2= 9/(x-3)

\frac{1}{x - 3} + 2 = \frac{9}{x - 3}

x = 7

Solution steps

\frac{1}{x - 3} + 2 = \frac{9}{x - 3}

Multiply both sides by

x - 3

1 + 2 (x - 3) = 9

Move

1

to the right side

2 (x - 3) = 8

Divide both sides by

2

x - 3 = 4

Move

3

to the right side

x = 7

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 7

\frac{x}{4} = \frac{16}{x}

\frac{4}{x} = \frac{10}{7.5}

\frac{- 2}{( x + 1 ) ^{2}} = - 2

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

\frac{4}{( x + 2 )} + \frac{4}{x} = 1

What is the answer to 1/(x-3)+2= 9/(x-3) ?
The answer to 1/(x-3)+2= 9/(x-3) is x=7
Solve for x: 1/(x-3)+2= 9/(x-3)
The solution is x=7