What is the answer to 1/(2x)+(6x-9)/(3x)= 2/x ?

The answer to 1/(2x)+(6x-9)/(3x)= 2/x is x= 9/4

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1/(2x)+(6x-9)/(3x)= 2/x

\frac{1}{2 x} + \frac{6 x - 9}{3 x} = \frac{2}{x}

x = \frac{9}{4}

Decimal

x = 2.25

Solution steps

\frac{1}{2 x} + \frac{6 x - 9}{3 x} = \frac{2}{x}

Multiply by LCM

1 + 2 (2 x - 3) = 4

Move

1

to the right side

2 (2 x - 3) = 3

Divide both sides by

2

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

Move

3

to the right side

2 x = \frac{9}{2}

Divide both sides by

2

x = \frac{9}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{9}{4}

\frac{7}{x - 1} - \frac{4}{x} = \frac{x}{x - 1}

\frac{6}{2 x - 1} = 5

\frac{x - 1}{7 x + 6} = \frac{2}{x + 2}

- \frac{2}{x - 1} + 9 x = - \frac{2 x}{x - 1}

6.16 = \frac{50 x}{x ^{2} + 3 x + 6}

What is the answer to 1/(2x)+(6x-9)/(3x)= 2/x ?
The answer to 1/(2x)+(6x-9)/(3x)= 2/x is x= 9/4
Solve for x: 1/(2x)+(6x-9)/(3x)= 2/x
The solution is x= 9/4