What is the answer to 1/(x-3)+4=(17)/(x-3) ?

The answer to 1/(x-3)+4=(17)/(x-3) is x=7

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1/(x-3)+4=(17)/(x-3)

\frac{1}{x - 3} + 4 = \frac{17}{x - 3}

x = 7

Solution steps

\frac{1}{x - 3} + 4 = \frac{17}{x - 3}

Multiply both sides by

x - 3

1 + 4 (x - 3) = 17

Move

1

to the right side

4 (x - 3) = 16

Divide both sides by

4

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{1}{a} + \frac{1}{a} = a

\frac{x + 2}{2 x - 6} = \frac{3}{8}

- 2 = \frac{3 - 7}{x - 2}

\frac{x - 8}{x + 2} = - \frac{3}{x}

4 + \frac{9}{x} = \frac{5}{2}

What is the answer to 1/(x-3)+4=(17)/(x-3) ?
The answer to 1/(x-3)+4=(17)/(x-3) is x=7
Solve for x: 1/(x-3)+4=(17)/(x-3)
The solution is x=7