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

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

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

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

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

Decimal Notation

x = 4, x = 0.33333 \dots

Solution steps

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

Multiply by LCM

4 (x - 1) + 6 x = 3 x (x - 1)

Solve

4 (x - 1) + 6 x = 3 x (x - 1) : x = 4, x = \frac{1}{3}

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

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 1

Combine undefined points with solutions:

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

x + \frac{10}{x} = 7

\frac{8 x - 10}{13 x - 2 x} = \frac{2}{2}

x, 6 = \frac{2}{x} \cdot x^{3}

y, x = \frac{1}{y - 1}

- 7 + \frac{9}{x - 9} = - \frac{x}{x - 9}

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