4/x = 2/3

Solution

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

x = 6

Solution steps

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

Cross multiply

12 = x \cdot 2

Switch sides

x \cdot 2 = 12

Divide both sides by

2

x = 6

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6

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

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

\frac{5}{2 x - 3} = \frac{3}{x + 5}

x + \frac{1}{x} + 2 = 0

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