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

The answer to 4/(x+4)=(-4)/(x-4) is x=0

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

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

x = 0

Solution steps

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

Cross multiply

4 x - 16 = - 4 x - 16

Move

16

to the right side

4 x = - 4 x

Move

4 x

to the left side

8 x = 0

Divide both sides by

8

x = 0

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = 4

Combine undefined points with solutions:

x = 0

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

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

x + 3 = \frac{60}{x - 1}

x - \frac{1}{x} = 10

\frac{6}{x - 5} = \frac{1}{x}

What is the answer to 4/(x+4)=(-4)/(x-4) ?
The answer to 4/(x+4)=(-4)/(x-4) is x=0
Solve for x: 4/(x+4)=(-4)/(x-4)
The solution is x=0