What is the answer to (-3)/x+2=7 ?

The answer to (-3)/x+2=7 is x=-3/5

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(-3)/x+2=7

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

x = - \frac{3}{5}

Decimal Notation

x = - 0.6

Solution steps

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

Move

2

to the right side

\frac{- 3}{x} = 5

Simplify

\frac{- 3}{x} : - \frac{3}{x}

- \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}

\frac{3}{x - 1} - \frac{5 x}{x + 2} = 1

\frac{15}{x + 2} - \frac{6}{x - 1} = 0

\frac{5}{x} = \frac{x}{9}

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

0.4286 = 1 - 26 + \frac{273}{x}