What is the answer to -6/(x+2)-2=-x/(x+2) ?

The answer to -6/(x+2)-2=-x/(x+2) is x=-10

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-6/(x+2)-2=-x/(x+2)

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

x = - 10

Solution steps

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

Multiply both sides by

x + 2

- 6 - 2 (x + 2) = - x

Expand

- 6 - 2 (x + 2) : - 2 x - 10

- 2 x - 10 = - x

Move

10

to the right side

- 2 x = - x + 10

Move

x

to the left side

- x = 10

Divide both sides by

- 1

x = - 10

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - 10

x + \frac{5}{x} = 6

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

\frac{5}{x} - \frac{1}{3} = \frac{1}{x}

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

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

What is the answer to -6/(x+2)-2=-x/(x+2) ?
The answer to -6/(x+2)-2=-x/(x+2) is x=-10
Solve for x: -6/(x+2)-2=-x/(x+2)
The solution is x=-10