What is the answer to 1/2-1/(3x)=-4 ?

The answer to 1/2-1/(3x)=-4 is x= 2/27

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1/2-1/(3x)=-4

\frac{1}{2} - \frac{1}{3 x} = - 4

x = \frac{2}{27}

Decimal Notation

x = 0.07407 \dots

Solution steps

\frac{1}{2} - \frac{1}{3 x} = - 4

Multiply by LCM

3 x - 2 = - 24 x

Move

2

to the right side

3 x = - 24 x + 2

Move

24 x

to the left side

27 x = 2

Divide both sides by

27

x = \frac{2}{27}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{2}{27}

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

\frac{e}{e} = \frac{r + r}{r}

6 + \frac{1}{x + 4} = 5

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

\frac{2}{5 x} = 10