What is the answer to 8/(x+9)= 5/(x-3) ?

The answer to 8/(x+9)= 5/(x-3) is x=23

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8/(x+9)= 5/(x-3)

\frac{8}{x + 9} = \frac{5}{x - 3}

x = 23

Solution steps

\frac{8}{x + 9} = \frac{5}{x - 3}

Cross multiply

8 x - 24 = 5 x + 45

Move

24

to the right side

8 x = 5 x + 69

Move

5 x

to the left side

3 x = 69

Divide both sides by

3

x = 23

Verify Solutions

Find undefined (singularity) points:

x = - 9, x = 3

Combine undefined points with solutions:

x = 23

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

\frac{3}{( x - 2 )} = \frac{4 - 1}{3}

\frac{3}{2 y} = \frac{16}{y + 2}

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

2 x + \frac{1}{x} - 4 = 0