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

The answer to (3x-2)/(3x+1)= 1/3 is x= 7/6

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

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

x = \frac{7}{6}

Decimal Notation

x = 1.16666 \dots

Solution steps

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

Cross multiply

9 x - 6 = 3 x + 1

Move

6

to the right side

9 x = 3 x + 7

Move

3 x

to the left side

6 x = 7

Divide both sides by

6

x = \frac{7}{6}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{3}

Combine undefined points with solutions:

x = \frac{7}{6}

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

5 - \frac{1}{t} = \frac{4}{t ^{2}}

t, M - 5 N = \frac{f}{t}

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

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

What is the answer to (3x-2)/(3x+1)= 1/3 ?
The answer to (3x-2)/(3x+1)= 1/3 is x= 7/6
Solve for x: (3x-2)/(3x+1)= 1/3
The solution is x= 7/6