What is the answer to 5/(x+4)= 9/(x-8) ?

The answer to 5/(x+4)= 9/(x-8) is x=-19

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5/(x+4)= 9/(x-8)

\frac{5}{x + 4} = \frac{9}{x - 8}

x = - 19

Solution steps

\frac{5}{x + 4} = \frac{9}{x - 8}

Cross multiply

5 x - 40 = 9 x + 36

Move

40

to the right side

5 x = 9 x + 76

Move

9 x

to the left side

- 4 x = 76

Divide both sides by

- 4

x = - 19

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = 8

Combine undefined points with solutions:

x = - 19

\frac{x - 9}{3 x + 9} = \frac{2}{9}

\frac{x - 8}{x + 8} = \frac{5}{9}

\frac{5 k - 2}{3 k} = 7

\frac{1}{3} = \frac{1}{4 + c}

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

What is the answer to 5/(x+4)= 9/(x-8) ?
The answer to 5/(x+4)= 9/(x-8) is x=-19
Solve for x: 5/(x+4)= 9/(x-8)
The solution is x=-19