What is the answer to 4/(x+2)= 6/(x-6) ?

The answer to 4/(x+2)= 6/(x-6) is x=-18

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

\frac{4}{x + 2} = \frac{6}{x - 6}

x = - 18

Solution steps

\frac{4}{x + 2} = \frac{6}{x - 6}

Cross multiply

4 x - 24 = 6 x + 12

Move

24

to the right side

4 x = 6 x + 36

Move

6 x

to the left side

- 2 x = 36

Divide both sides by

- 2

x = - 18

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 6

Combine undefined points with solutions:

x = - 18

30 (\frac{1}{x} + \frac{1}{50}) = 1

\frac{- 1}{( x - 1 ) ^{2}} = 0

\frac{x - 1}{x + 6} - 3 = 5

x, \frac{6}{x} = x - 1

\frac{( x - 13 )}{6} + 1 = \frac{3}{x}

What is the answer to 4/(x+2)= 6/(x-6) ?
The answer to 4/(x+2)= 6/(x-6) is x=-18
Solve for x: 4/(x+2)= 6/(x-6)
The solution is x=-18