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

The answer to 6/(x-2)=(-2)/(x+6) is x=-4

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

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

x = - 4

Solution steps

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

Cross multiply

6 x + 36 = - 2 x + 4

Move

36

to the right side

6 x = - 2 x - 32

Move

2 x

to the left side

8 x = - 32

Divide both sides by

8

x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 6

Combine undefined points with solutions:

x = - 4

0.01 = \frac{2.8 x}{0.4 x ^{2} + 1.3}

\frac{1}{x} - 2 = 0

\frac{1}{x ^{2}} = 9^{- 1}

\frac{3 x}{x + 2} = 5 - \frac{6}{x + 2}

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

What is the answer to 6/(x-2)=(-2)/(x+6) ?
The answer to 6/(x-2)=(-2)/(x+6) is x=-4
Solve for x: 6/(x-2)=(-2)/(x+6)
The solution is x=-4