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

The answer to (x+12)/x = 3/2 is x=24

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(x+12)/x = 3/2

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

x = 24

Solution steps

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

Cross multiply

2 x + 24 = x \cdot 3

Move

24

to the right side

2 x = x \cdot 3 - 24

Move

x 3

to the left side

- x = - 24

Divide both sides by

- 1

x = 24

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 24

\frac{x + 4}{x + 6} = 0.75

\frac{3 x + 5}{7 x} = x

\frac{0.78}{x} = 1.03

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

\frac{5 x}{6 x - 18} = \frac{1}{x - 3}