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

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

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

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

x = - 3

Solution steps

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

Multiply by LCM

2 x + 3 (x + 2) = - x^{2}

Solve

2 x + 3 (x + 2) = - x^{2} : x = - 3, x = - 2

x = - 3, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 0

Since the equation is undefined for:

- 2

x = - 3

x - \frac{3}{x + 7} = \frac{5}{x + 7}

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

\frac{2}{x + 3} + \frac{x + 3}{2} = \frac{10}{3}

x - \frac{x + 5}{x + 8} = \frac{3}{x + 8}

\frac{20}{x} - \frac{20}{x - 2} = \frac{4}{x}

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