What is the answer to 4/(2x)= 5/(x+6) ?

The answer to 4/(2x)= 5/(x+6) is x=4

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4/(2x)= 5/(x+6)

\frac{4}{2 x} = \frac{5}{x + 6}

x = 4

Solution steps

\frac{4}{2 x} = \frac{5}{x + 6}

Cross multiply

2 x + 12 = x \cdot 5

Move

12

to the right side

2 x = x \cdot 5 - 12

Move

x 5

to the left side

- 3 x = - 12

Divide both sides by

- 3

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 6

Combine undefined points with solutions:

x = 4

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

v, M = \frac{n}{v}

- 1000 \cdot (\frac{0.5}{x}) = - 2

\frac{2}{x + 8} = \frac{4}{x - 1}

78 (1 - \frac{1}{x}) = 116