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

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

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

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

x = - 2, x = 5

Solution steps

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

Multiply by LCM

10 - x (x + 1) = - 4 x

Solve

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

x = - 2, x = 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 2, x = 5

1 + \frac{5}{x + 5} = - \frac{9 x}{x + 5}

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

- \frac{4}{x + 6} = \frac{1}{4 x + 24} + 2

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

\frac{60}{w - 5} - \frac{18}{w} = \frac{40}{w}

What is the answer to 2/x-(x+1)/5 =-4/5 ?
The answer to 2/x-(x+1)/5 =-4/5 is x=-2,x=5
Solve for x: 2/x-(x+1)/5 =-4/5
The solution is x=-2,x=5