What is the answer to x-7/(x+8)=2x ?

The answer to x-7/(x+8)=2x is x=-7,x=-1

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x-7/(x+8)=2x

x - \frac{7}{x + 8} = 2 x

x = - 7, x = - 1

Solution steps

x - \frac{7}{x + 8} = 2 x

Multiply both sides by

x + 8

x (x + 8) - 7 = 2 x (x + 8)

Solve

x (x + 8) - 7 = 2 x (x + 8) : x = - 7, x = - 1

x = - 7, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 8

Combine undefined points with solutions:

x = - 7, x = - 1

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

6 - \frac{2}{x ^{2}} = 0

\frac{- 10 x}{x ^{2} + 25} = 1

\frac{x ^{2}}{x - 1} = 4

t^{- 2} - 7 t^{- 1} + 12 = 0