What is the answer to (x+2)/(x+6)= 1/3 ?

The answer to (x+2)/(x+6)= 1/3 is x=0

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(x+2)/(x+6)= 1/3

\frac{x + 2}{x + 6} = \frac{1}{3}

x = 0

Solution steps

\frac{x + 2}{x + 6} = \frac{1}{3}

Cross multiply

3 x + 6 = x + 6

Move

6

to the right side

3 x = x

Move

x

to the left side

2 x = 0

Divide both sides by

2

x = 0

Verify Solutions

Find undefined (singularity) points:

x = - 6

Combine undefined points with solutions:

x = 0

\frac{6}{7} = \frac{5}{x}

\frac{5}{x + 2} = \frac{6}{x - 2}

x - \frac{10}{x} = 3

\frac{x - 2}{2 x + 8} = \frac{3}{2}

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