What is the answer to x-5/(x+6)=2x ?

The answer to x-5/(x+6)=2x is x=-5,x=-1

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x-5/(x+6)=2x

x - \frac{5}{x + 6} = 2 x

x = - 5, x = - 1

Solution steps

x - \frac{5}{x + 6} = 2 x

Multiply both sides by

x + 6

x (x + 6) - 5 = 2 x (x + 6)

Solve

x (x + 6) - 5 = 2 x (x + 6) : x = - 5, x = - 1

x = - 5, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 6

Combine undefined points with solutions:

x = - 5, x = - 1

\frac{2 x - 5}{x - 4} = \frac{11}{x - 4}

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

\frac{5}{x + 4} = 4 + \frac{3}{x - 2}

0.2 = \frac{6 + 2 x}{12 + x}

\frac{48}{n} = 6