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

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

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

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

x = 1

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 = 1

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = 1

\frac{2}{4} = \frac{6}{x}

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

16 = \frac{x + 8}{x - 8}

x + 16 = \frac{1}{x - 8}

0.73 = \frac{100000 - x}{x}

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