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

The answer to 1/2+2/x = 3/4 is x=8

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1/2+2/x = 3/4

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

x = 8

Solution steps

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

Multiply by LCM

2 x + 8 = 3 x

Move

8

to the right side

2 x = 3 x - 8

Move

3 x

to the left side

- x = - 8

Divide both sides by

- 1

x = 8

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 8

\frac{7}{x} - \frac{5}{4} = \frac{x}{8}

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

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

x^{2} - \frac{1}{x} = 0

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