What is the answer to 3/x = 8/(x-2) ?

The answer to 3/x = 8/(x-2) is x=-6/5

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3/x = 8/(x-2)

\frac{3}{x} = \frac{8}{x - 2}

x = - \frac{6}{5}

Decimal Notation

x = - 1.2

Solution steps

\frac{3}{x} = \frac{8}{x - 2}

Cross multiply

3 x - 6 = x \cdot 8

Move

6

to the right side

3 x = x \cdot 8 + 6

Move

x 8

to the left side

- 5 x = 6

Divide both sides by

- 5

x = - \frac{6}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 2

Combine undefined points with solutions:

x = - \frac{6}{5}

1 - \frac{2 x + 5}{x - 2} = \frac{x + 2}{x ^{2} - 4}

R, \frac{n}{R} = \frac{b}{a}

\frac{x + 2}{3 x - 1} + 1 = \frac{6 - x}{x + 1}

2 x - \frac{7}{x - 6} = x

g, c = \frac{d}{g}