4/x =4-x

Solution

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

x = 2

Solution steps

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

Multiply both sides by

x

4 = 4 x - x^{2}

Solve

4 = 4 x - x^{2} : x = 2

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2

4 = \frac{7}{5} - \frac{2}{c}

4 = \frac{7}{5} - \frac{2}{x}

\frac{b + 8}{b - 7} = \frac{3}{4}

\frac{10}{x - 3} = \frac{9}{x - 5}

v - \frac{16}{v} = 6