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

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

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(x+3)/x =-3

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

x = - \frac{3}{4}

Solution steps

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

Multiply both sides by

x

x + 3 = - 3 x

Move

3

to the right side

x = - 3 x - 3

Move

3 x

to the left side

4 x = - 3

Divide both sides by

4

x = - \frac{3}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{3}{4}

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

\frac{5}{3} = \frac{4}{y} - 1

2 = \frac{x + 7}{x - 10}

3 = - \frac{6}{d}

50 = \frac{1}{x}