What is the answer to (3x-1)/(6x+2)=4 ?

The answer to (3x-1)/(6x+2)=4 is x=-3/7

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(3x-1)/(6x+2)=4

\frac{3 x - 1}{6 x + 2} = 4

x = - \frac{3}{7}

Decimal Notation

x = - 0.42857 \dots

Solution steps

\frac{3 x - 1}{6 x + 2} = 4

Multiply both sides by

6 x + 2

3 x - 1 = 4 (6 x + 2)

Expand

4 (6 x + 2) : 24 x + 8

3 x - 1 = 24 x + 8

Move

1

to the right side

3 x = 24 x + 9

Move

24 x

to the left side

- 21 x = 9

Divide both sides by

- 21

x = - \frac{3}{7}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{3}

Combine undefined points with solutions:

x = - \frac{3}{7}

\frac{3 x}{x + 1} = 8 - \frac{3}{x + 1}

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

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

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

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