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

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

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

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

x = - \frac{1}{2}

Solution steps

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

Multiply both sides by

3 x + 1

2 x = 2 (3 x + 1)

Expand

2 (3 x + 1) : 6 x + 2

2 x = 6 x + 2

Move

6 x

to the left side

- 4 x = 2

Divide both sides by

- 4

x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{3}

Combine undefined points with solutions:

x = - \frac{1}{2}

y = \frac{42}{13 - y}

\frac{2}{n} = \frac{4}{10}

\frac{9 x}{( x - 9 ) ( x - 4 )} = 3 x + 8

\frac{1}{5 x ^{3}} = \frac{8}{5}

2 = \frac{2}{x}