What is the answer to 6/(x-8)= 2/(x+6) ?

The answer to 6/(x-8)= 2/(x+6) is x=-13

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6/(x-8)= 2/(x+6)

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

x = - 13

Solution steps

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

Cross multiply

6 x + 36 = 2 x - 16

Move

36

to the right side

6 x = 2 x - 52

Move

2 x

to the left side

4 x = - 52

Divide both sides by

4

x = - 13

Verify Solutions

Find undefined (singularity) points:

x = 8, x = - 6

Combine undefined points with solutions:

x = - 13

\frac{r}{r - 2} - 5 = \frac{2}{r - 2}

\frac{x + 3}{x - 5} = 0

\frac{x}{x + 3} = \frac{8}{x + 6}

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

f, \frac{g}{f} + Q = 2

What is the answer to 6/(x-8)= 2/(x+6) ?
The answer to 6/(x-8)= 2/(x+6) is x=-13
Solve for x: 6/(x-8)= 2/(x+6)
The solution is x=-13