What is the answer to 2/x-5/(x+4)=1 ?

The answer to 2/x-5/(x+4)=1 is x=1,x=-8

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2/x-5/(x+4)=1

\frac{2}{x} - \frac{5}{x + 4} = 1

x = 1, x = - 8

Solution steps

\frac{2}{x} - \frac{5}{x + 4} = 1

Multiply by LCM

2 (x + 4) - 5 x = x (x + 4)

Solve

2 (x + 4) - 5 x = x (x + 4) : x = 1, x = - 8

x = 1, x = - 8

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 4

Combine undefined points with solutions:

x = 1, x = - 8

\frac{- 1}{2 t} = ln (c)

- \frac{10240}{x ^{2}} + 0.1 = 0

y, x = \frac{y + 2}{y}

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

\frac{Z + 7}{Z} - \frac{6}{5} = 0