What is the answer to -7/(x-2)-2=-x/(x-2) ?

The answer to -7/(x-2)-2=-x/(x-2) is x=-3

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-7/(x-2)-2=-x/(x-2)

- \frac{7}{x - 2} - 2 = - \frac{x}{x - 2}

x = - 3

Solution steps

- \frac{7}{x - 2} - 2 = - \frac{x}{x - 2}

Multiply both sides by

x - 2

- 7 - 2 (x - 2) = - x

Expand

- 7 - 2 (x - 2) : - 2 x - 3

- 2 x - 3 = - x

Move

3

to the right side

- 2 x = - x + 3

Move

x

to the left side

- x = 3

Divide both sides by

- 1

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = - 3

2 = \frac{18}{2 c}

- 6 + \frac{5 x}{x + 2} = - \frac{7}{x + 2}

2 x - \frac{250}{x ^{2}} = 0

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

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

What is the answer to -7/(x-2)-2=-x/(x-2) ?
The answer to -7/(x-2)-2=-x/(x-2) is x=-3
Solve for x: -7/(x-2)-2=-x/(x-2)
The solution is x=-3