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

The answer to (3x-2)/(3x+1)=3 is x=-5/6

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

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

x = - \frac{5}{6}

Decimal Notation

x = - 0.83333 \dots

Solution steps

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

Multiply both sides by

3 x + 1

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

Expand

3 (3 x + 1) : 9 x + 3

3 x - 2 = 9 x + 3

Move

2

to the right side

3 x = 9 x + 5

Move

9 x

to the left side

- 6 x = 5

Divide both sides by

- 6

x = - \frac{5}{6}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{3}

Combine undefined points with solutions:

x = - \frac{5}{6}

T, f = \frac{1}{T}

\frac{4}{x} = \frac{2}{19}

- \frac{2}{7} = \frac{12}{x}

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

- \frac{2}{9} = \frac{8}{- 3 x}