What is the answer to 10=(-2)/x+3/x ?

The answer to 10=(-2)/x+3/x is x= 1/10

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

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

x = \frac{1}{10}

Decimal Notation

x = 0.1

Solution steps

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

Simplify

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

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

Multiply both sides by

x

10 x = 1

Divide both sides by

10

x = \frac{1}{10}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{10}

\frac{24}{x} + 1 = 3

\frac{8}{x - 7} = \frac{4}{x - 6}

1^{2} = \frac{2 ^{3}}{c - 2}

\frac{1}{2 x ^{2}} = 72

\frac{x - 2}{x + 3} = \frac{5}{6}