What is the answer to 5/(x+8)= 3/(x-2) ?

The answer to 5/(x+8)= 3/(x-2) is x=17

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5/(x+8)= 3/(x-2)

\frac{5}{x + 8} = \frac{3}{x - 2}

x = 17

Solution steps

\frac{5}{x + 8} = \frac{3}{x - 2}

Cross multiply

5 x - 10 = 3 x + 24

Move

10

to the right side

5 x = 3 x + 34

Move

3 x

to the left side

2 x = 34

Divide both sides by

2

x = 17

Verify Solutions

Find undefined (singularity) points:

x = - 8, x = 2

Combine undefined points with solutions:

x = 17

\frac{2 x - 3}{2} + \frac{5 x}{x + 1} = x

\frac{2}{x - 1} + \frac{4}{x + 5} = 7

\frac{1}{33} + \frac{1.5}{x} = \frac{0.5}{12}

x, \frac{w}{x} = \frac{y}{z}

\frac{x - 1}{x + 1} - \frac{3 + x}{x} = 2