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

The answer to 2/(x-4)= 6/(x-6) is x=3

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

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

x = 3

Solution steps

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

Cross multiply

2 x - 12 = 6 x - 24

Move

12

to the right side

2 x = 6 x - 12

Move

6 x

to the left side

- 4 x = - 12

Divide both sides by

- 4

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 4, x = 6

Combine undefined points with solutions:

x = 3

\frac{30}{x} + 3 = - \frac{9}{2}

- \frac{128000}{x ^{2}} + 2 x = 0

k - \frac{2}{k} - 1 = 0

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

\frac{3}{4 x - 9} = 27