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

The answer to 1/6+1/(3x)= 3/(2x) is x=7

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1/6+1/(3x)= 3/(2x)

\frac{1}{6} + \frac{1}{3 x} = \frac{3}{2 x}

x = 7

Solution steps

\frac{1}{6} + \frac{1}{3 x} = \frac{3}{2 x}

Multiply by LCM

x + 2 = 9

Move

2

to the right side

x = 7

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 7

- \frac{1}{x ^{2}} = - \frac{1}{5}

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

x - \frac{3 x + 2}{x - 5} = \frac{7}{x - 5}

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

\frac{3 x - 26}{7} = - \frac{5}{x}

What is the answer to 1/6+1/(3x)= 3/(2x) ?
The answer to 1/6+1/(3x)= 3/(2x) is x=7
Solve for x: 1/6+1/(3x)= 3/(2x)
The solution is x=7