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

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

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

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

x = - 2

Solution steps

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

Cross multiply

6 x + 6 = 3 x

Move

6

to the right side

6 x = 3 x - 6

Move

3 x

to the left side

3 x = - 6

Divide both sides by

3

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 2

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

a + 24 = \frac{144}{a}

2 a - 5 = \frac{4}{a}

\frac{x}{2 x - 6} = \frac{x + 8}{15}

\frac{12}{x} = \frac{x}{3}