What is the answer to 1/(x+4)+4=(21)/(x+4) ?

The answer to 1/(x+4)+4=(21)/(x+4) is x=1

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1/(x+4)+4=(21)/(x+4)

\frac{1}{x + 4} + 4 = \frac{21}{x + 4}

x = 1

Solution steps

\frac{1}{x + 4} + 4 = \frac{21}{x + 4}

Multiply both sides by

x + 4

1 + 4 (x + 4) = 21

Move

1

to the right side

4 (x + 4) = 20

Divide both sides by

4

x + 4 = 5

Move

4

to the right side

x = 1

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = 1

\frac{6}{6 b + 7} = \frac{2}{b - 7}

0 = \frac{4}{x ^{2} + 1}

\frac{11}{x} = 11

y, y^{- 3} = x

\frac{4}{x} + \frac{6}{x + 2} = 0

What is the answer to 1/(x+4)+4=(21)/(x+4) ?
The answer to 1/(x+4)+4=(21)/(x+4) is x=1
Solve for x: 1/(x+4)+4=(21)/(x+4)
The solution is x=1