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

The answer to x-x/(x-4)=3 is x=6,x=2

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x-x/(x-4)=3

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

x = 6, x = 2

Solution steps

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

Multiply both sides by

x - 4

x (x - 4) - x = 3 (x - 4)

Solve

x (x - 4) - x = 3 (x - 4) : x = 6, x = 2

x = 6, x = 2

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = 6, x = 2

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

\frac{1}{14} = \frac{8}{x - 3}

\frac{5}{3 + b} = \frac{3}{7 b + 1}

\frac{3}{x - 2} = \frac{7}{4 x - 8}

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