What is the answer to x/(x+5)=10 ?

The answer to x/(x+5)=10 is x=-50/9

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x/(x+5)=10

\frac{x}{x + 5} = 10

x = - \frac{50}{9}

Decimal Notation

x = - 5.55555 \dots

Solution steps

\frac{x}{x + 5} = 10

Multiply both sides by

x + 5

x = 10 (x + 5)

Expand

10 (x + 5) : 10 x + 50

x = 10 x + 50

Move

10 x

to the left side

- 9 x = 50

Divide both sides by

- 9

x = - \frac{50}{9}

Verify Solutions

Find undefined (singularity) points:

x = - 5

Combine undefined points with solutions:

x = - \frac{50}{9}

\frac{40}{x} = \frac{5}{7}

\frac{x}{x + 4} = \frac{8}{7}

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

x + 5 = \frac{14}{x}

\frac{( x - 6 ) ( x + 1 )}{x + 1} = 0