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

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

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4= 2/(3x+2)

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

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

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

Multiply both sides by

3 x + 2

4 (3 x + 2) = 2

Divide both sides by

4

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

Move

2

to the right side

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

Divide both sides by

3

x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{2}{3}

Combine undefined points with solutions:

x = - \frac{1}{2}

\frac{a - c}{x - a} = m

[(\frac{900}{x}) - 9] (x + 5) = 900

\frac{3 x + 7}{x + 3} = \frac{7}{2}

\frac{n - 5}{n + 8} = \frac{2}{7}

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