What is the answer to x/(x+4)=5 ?

The answer to x/(x+4)=5 is x=-5

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x/(x+4)=5

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

x = - 5

Solution steps

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

Multiply both sides by

x + 4

x = 5 (x + 4)

Expand

5 (x + 4) : 5 x + 20

x = 5 x + 20

Move

5 x

to the left side

- 4 x = 20

Divide both sides by

- 4

x = - 5

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = - 5

8 = \frac{10}{x}

x^{- 3} - x = 0

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

\frac{25 - x ^{2}}{x ^{2} + 5 x} = 0

\frac{25 - x ^{2}}{x ^{2} + 5 x} = 1