What is the answer to 2/3 = 8/(x+6) ?

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

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2/3 = 8/(x+6)

\frac{2}{3} = \frac{8}{x + 6}

x = 6

Solution steps

\frac{2}{3} = \frac{8}{x + 6}

Cross multiply

2 (x + 6) = 24

Divide both sides by

2

x + 6 = 12

Move

6

to the right side

x = 6

Verify Solutions

Find undefined (singularity) points:

x = - 6

Combine undefined points with solutions:

x = 6

x, u = \frac{x + y}{k x}

\frac{2 x ^{2} - 8}{x ^{2}} = 0

\frac{8}{x} = 1

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

\frac{12}{x} + \frac{30}{x} = 1