What is the answer to (x-7)/x = 8/(2x) ?

The answer to (x-7)/x = 8/(2x) is x=11

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(x-7)/x = 8/(2x)

\frac{x - 7}{x} = \frac{8}{2 x}

x = 11

Solution steps

\frac{x - 7}{x} = \frac{8}{2 x}

Simplify

\frac{8}{2 x} : \frac{4}{x}

\frac{x - 7}{x} = \frac{4}{x}

Multiply both sides by

x

x - 7 = 4

Move

7

to the right side

x = 11

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 11

\frac{40}{x + 10} = \frac{20}{x}

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

x^{- n - 1} = \frac{1}{x ^{n - 1}}

\frac{a}{x ^{2}} + b x^{2} = - 21

\frac{1}{x + 2} = x^{3} + 7 x + 7