What is the answer to 1/x = 2/(x+6) ?

The answer to 1/x = 2/(x+6) is x=6

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1/x = 2/(x+6)

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

x = 6

Solution steps

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

Cross multiply

x + 6 = x \cdot 2

Move

6

to the right side

x = x \cdot 2 - 6

Move

x 2

to the left side

- x = - 6

Divide both sides by

- 1

x = 6

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 6

Combine undefined points with solutions:

x = 6

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

M, \frac{a}{M} = 4 g - h

\frac{2}{t} - \frac{3 t}{2} = 7

\frac{16}{x} = 0

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