What is the answer to 3/(x-6)= 7/(x+2) ?

The answer to 3/(x-6)= 7/(x+2) is x=12

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3/(x-6)= 7/(x+2)

\frac{3}{x - 6} = \frac{7}{x + 2}

x = 12

Solution steps

\frac{3}{x - 6} = \frac{7}{x + 2}

Cross multiply

3 x + 6 = 7 x - 42

Move

6

to the right side

3 x = 7 x - 48

Move

7 x

to the left side

- 4 x = - 48

Divide both sides by

- 4

x = 12

Verify Solutions

Find undefined (singularity) points:

x = 6, x = - 2

Combine undefined points with solutions:

x = 12

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

0.2 = \frac{x ^{2}}{35 - x}

\frac{4 r}{5 r + 6} = \frac{1}{6}

x^{- 2} = \frac{1}{4}

\frac{3}{x + 1} = \frac{2}{x + 4}