What is the answer to (-2)/(x+3)=2+5/x ?

The answer to (-2)/(x+3)=2+5/x is x=-3/2 ,x=-5

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(-2)/(x+3)=2+5/x

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

x = - \frac{3}{2}, x = - 5

Decimal Notation

x = - 1.5, x = - 5

Solution steps

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

Multiply by LCM

- 2 x = 2 x (x + 3) + 5 (x + 3)

Solve

- 2 x = 2 x (x + 3) + 5 (x + 3) : x = - \frac{3}{2}, x = - 5

x = - \frac{3}{2}, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = 0

Combine undefined points with solutions:

x = - \frac{3}{2}, x = - 5

1 = \frac{2}{x}

\frac{3 - x ^{2}}{x ^{3}} = 0

\frac{x}{x - 8} + 9 = \frac{8}{x - 8}

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

- 1 - \frac{- 18}{c} = 8

What is the answer to (-2)/(x+3)=2+5/x ?
The answer to (-2)/(x+3)=2+5/x is x=-3/2 ,x=-5
Solve for x: (-2)/(x+3)=2+5/x
The solution is x=-3/2 ,x=-5