What is the answer to (10)/(x+8)= 5/(x-8) ?

The answer to (10)/(x+8)= 5/(x-8) is x=24

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(10)/(x+8)= 5/(x-8)

\frac{10}{x + 8} = \frac{5}{x - 8}

x = 24

Solution steps

\frac{10}{x + 8} = \frac{5}{x - 8}

Cross multiply

10 x - 80 = 5 x + 40

Move

80

to the right side

10 x = 5 x + 120

Move

5 x

to the left side

5 x = 120

Divide both sides by

5

x = 24

Verify Solutions

Find undefined (singularity) points:

x = - 8, x = 8

Combine undefined points with solutions:

x = 24

2 x - \frac{27648}{x ^{2}} = 0

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

2 x - \frac{8192}{x ^{2}} = 0

\frac{4}{y - 1} - \frac{5}{y + 2} = \frac{3}{y}

2 - \frac{98}{x ^{2}} = 0

What is the answer to (10)/(x+8)= 5/(x-8) ?
The answer to (10)/(x+8)= 5/(x-8) is x=24
Solve for x: (10)/(x+8)= 5/(x-8)
The solution is x=24