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

The answer to 2/(3x)+3/4 = 1/x is x= 4/9

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

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

x = \frac{4}{9}

Decimal

x = 0.44444 \dots

Solution steps

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

Multiply by LCM

8 + 9 x = 12

Move

8

to the right side

9 x = 4

Divide both sides by

9

x = \frac{4}{9}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{4}{9}

\frac{1}{( x + 1 )} - \frac{1}{( x - 1 )} = 1

\frac{1}{x + 10} + \frac{20}{x ^{2} - 100} = 1

\frac{2 x + 17}{x + 1} = x + 5

\frac{1}{x + 3} - \frac{1}{x} = 5

- 7 - \frac{3}{x} = - 6 x

What is the answer to 2/(3x)+3/4 = 1/x ?
The answer to 2/(3x)+3/4 = 1/x is x= 4/9
Solve for x: 2/(3x)+3/4 = 1/x
The solution is x= 4/9