What is the answer to 3/(x+4)= 2/(x-4) ?

The answer to 3/(x+4)= 2/(x-4) is x=20

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

\frac{3}{x + 4} = \frac{2}{x - 4}

x = 20

Solution steps

\frac{3}{x + 4} = \frac{2}{x - 4}

Cross multiply

3 x - 12 = 2 x + 8

Move

12

to the right side

3 x = 2 x + 20

Move

2 x

to the left side

x = 20

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = 4

Combine undefined points with solutions:

x = 20

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

\frac{8}{m - 9} = \frac{6}{m - 8}

\frac{10}{9} = \frac{3}{q}

\frac{3}{x + 1} = \frac{7}{x + 5}

\frac{x - 2}{2 x - 8} = \frac{5}{8}