What is the answer to 4/3 =(84-x)/x ?

The answer to 4/3 =(84-x)/x is x=36

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4/3 =(84-x)/x

\frac{4}{3} = \frac{84 - x}{x}

x = 36

Solution steps

\frac{4}{3} = \frac{84 - x}{x}

Cross multiply

4 x = 252 - 3 x

Move

3 x

to the left side

7 x = 252

Divide both sides by

7

x = 36

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 36

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

\frac{6}{7} = \frac{5}{x}

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

x - \frac{10}{x} = 3

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