What is the answer to 1/x-4/(3x)=1 ?

The answer to 1/x-4/(3x)=1 is x=-1/3

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1/x-4/(3x)=1

\frac{1}{x} - \frac{4}{3 x} = 1

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

\frac{1}{x} - \frac{4}{3 x} = 1

Multiply by LCM

- 1 = 3 x

Switch sides

3 x = - 1

Divide both sides by

3

x = - \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{3}

\frac{6}{9} = \frac{2}{x - 5}

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

\frac{12}{x} = \frac{22}{x - 5}

a, x = \frac{a - b}{a + b}

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