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

The answer to -2/x-1=-(4x)/(x+2) is x=2,x=-2/3

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

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

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

Decimal Notation

x = 2, x = - 0.66666 \dots

Solution steps

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

Multiply by LCM

- 2 (x + 2) - x (x + 2) = - 4 x^{2}

Solve

- 2 (x + 2) - x (x + 2) = - 4 x^{2} : x = 2, x = - \frac{2}{3}

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

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 2

Combine undefined points with solutions:

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

\frac{x}{x + 6} - 3 = - \frac{6}{x + 6}

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

1 + \frac{6}{x - 2} = \frac{3 x}{x - 2}

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

\frac{4}{x - 1} + \frac{3}{x} = 3

What is the answer to -2/x-1=-(4x)/(x+2) ?
The answer to -2/x-1=-(4x)/(x+2) is x=2,x=-2/3
Solve for x: -2/x-1=-(4x)/(x+2)
The solution is x=2,x=-2/3