What is the answer to 8/x =(12)/(x+20) ?

The answer to 8/x =(12)/(x+20) is x=40

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8/x =(12)/(x+20)

\frac{8}{x} = \frac{12}{x + 20}

x = 40

Solution steps

\frac{8}{x} = \frac{12}{x + 20}

Cross multiply

8 x + 160 = x \cdot 12

Move

160

to the right side

8 x = x \cdot 12 - 160

Move

x 12

to the left side

- 4 x = - 160

Divide both sides by

- 4

x = 40

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 20

Combine undefined points with solutions:

x = 40

F, R = \frac{F}{N + F}

\frac{6}{5} = \frac{2}{5 n}

x, \frac{c}{x} = d - r

\frac{2}{x} + 3 = 7

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