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

The answer to (-2)/(x+2)=3 is x=-8/3

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

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

x = - \frac{8}{3}

Decimal Notation

x = - 2.66666 \dots

Solution steps

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

Simplify

\frac{- 2}{x + 2} : - \frac{2}{x + 2}

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

Multiply both sides by

x + 2

- 2 = 3 (x + 2)

Switch sides

3 (x + 2) = - 2

Divide both sides by

3

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

Move

2

to the right side

x = - \frac{8}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - \frac{8}{3}

3 = \frac{8}{a}

\frac{12 n + 8}{- 5 n} = 4

\frac{1}{n} = 0.4386

3 - x = \frac{x + 12}{x ^{2}}

\frac{x ^{2} + 5 x + 6}{x ^{2} + x + 1} = 1