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

The answer to 3/x+3=-2 is x=-3/5

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3/x+3=-2

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

x = - \frac{3}{5}

Decimal Notation

x = - 0.6

Solution steps

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

Move

3

to the right side

\frac{3}{x} = - 5

Multiply both sides by

x

3 = - 5 x

Switch sides

- 5 x = 3

Divide both sides by

- 5

x = - \frac{3}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{3}{5}

y, - \frac{1}{y} = x

\frac{8 x + 1}{x} = 0

\frac{3 x}{x + 5} = 0

x + 34 = \frac{1}{2 ( x - 6 ) ^{2}}

f, f^{- 1} (x) = 6^{x}