What is the answer to 2/(3x)= 1/4-1/(6x) ?

The answer to 2/(3x)= 1/4-1/(6x) is x= 10/3

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2/(3x)= 1/4-1/(6x)

\frac{2}{3 x} = \frac{1}{4} - \frac{1}{6 x}

x = \frac{10}{3}

Decimal

x = 3.33333 \dots

Solution steps

\frac{2}{3 x} = \frac{1}{4} - \frac{1}{6 x}

Multiply by LCM

8 = 3 x - 2

Switch sides

3 x - 2 = 8

Move

2

to the right side

3 x = 10

Divide both sides by

3

x = \frac{10}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{10}{3}

p, \frac{p}{1 - p} = c e^{t}

\frac{1}{6} + \frac{1}{8} = \frac{1}{x}

\frac{4 x - 5}{7 x} = 3

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

\frac{7}{x - 4} - \frac{6}{x - 2} = 2

What is the answer to 2/(3x)= 1/4-1/(6x) ?
The answer to 2/(3x)= 1/4-1/(6x) is x= 10/3
Solve for x: 2/(3x)= 1/4-1/(6x)
The solution is x= 10/3