What is the answer to (12)/x+3/4 = 3/2 ?

The answer to (12)/x+3/4 = 3/2 is x=16

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

\frac{12}{x} + \frac{3}{4} = \frac{3}{2}

x = 16

Solution steps

\frac{12}{x} + \frac{3}{4} = \frac{3}{2}

Multiply by LCM

48 + 3 x = 6 x

Move

48

to the right side

3 x = 6 x - 48

Move

6 x

to the left side

- 3 x = - 48

Divide both sides by

- 3

x = 16

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 16

\frac{14000}{y} + 1500 = \frac{14000}{y - 3}

\frac{3}{x} + \frac{1}{4} = \frac{8}{x}

\frac{x ^{2}}{x ^{2} + 3} = 0

\frac{x - 3}{x} = \frac{7}{10}

\frac{2}{5} = \frac{2 a - 3}{4 a - 5}