What is the answer to 5/(x+4)= 3/(x-2) ?

The answer to 5/(x+4)= 3/(x-2) is x=11

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

\frac{5}{x + 4} = \frac{3}{x - 2}

x = 11

Solution steps

\frac{5}{x + 4} = \frac{3}{x - 2}

Cross multiply

5 x - 10 = 3 x + 12

Move

10

to the right side

5 x = 3 x + 22

Move

3 x

to the left side

2 x = 22

Divide both sides by

2

x = 11

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = 2

Combine undefined points with solutions:

x = 11

\frac{z ^{6} + 1}{z ^{2} + 1} = 0

a, z = b + \frac{m}{a}

\frac{1}{x} = \frac{6}{x ^{2}}

12 x - \frac{288}{x ^{2}} = 0

1 - \frac{8}{x ^{2} + 6 x} = - \frac{x}{x + 6}