What is the answer to 3/(x-10)=(15)/(x+6) ?

The answer to 3/(x-10)=(15)/(x+6) is x=14

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3/(x-10)=(15)/(x+6)

\frac{3}{x - 10} = \frac{15}{x + 6}

x = 14

Solution steps

\frac{3}{x - 10} = \frac{15}{x + 6}

Cross multiply

3 x + 18 = 15 x - 150

Move

18

to the right side

3 x = 15 x - 168

Move

15 x

to the left side

- 12 x = - 168

Divide both sides by

- 12

x = 14

Verify Solutions

Find undefined (singularity) points:

x = 10, x = - 6

Combine undefined points with solutions:

x = 14

\frac{z}{z + 15} = \frac{4}{9}

\frac{12}{x} = - 2

\frac{4}{x - 3} - \frac{4}{x} = 1

k, r = \frac{k}{k - 6}

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

What is the answer to 3/(x-10)=(15)/(x+6) ?
The answer to 3/(x-10)=(15)/(x+6) is x=14
Solve for x: 3/(x-10)=(15)/(x+6)
The solution is x=14