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

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

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2/x = 3/(x+2)

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

x = 4

Solution steps

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

Cross multiply

2 x + 4 = x \cdot 3

Move

4

to the right side

2 x = x \cdot 3 - 4

Move

x 3

to the left side

- x = - 4

Divide both sides by

- 1

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 2

Combine undefined points with solutions:

x = 4

\frac{6}{7} = \frac{24}{n + 11}

\frac{x}{3} - \frac{9}{x} = 2

\frac{9}{x} + 2 = 20

\frac{8}{x} = \frac{x}{2}

\frac{x + 8}{x} = \frac{15}{9}