What is the answer to x-8/(x-4)=11 ?

The answer to x-8/(x-4)=11 is x=12,x=3

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x-8/(x-4)=11

x - \frac{8}{x - 4} = 11

x = 12, x = 3

Solution steps

x - \frac{8}{x - 4} = 11

Multiply both sides by

x - 4

x (x - 4) - 8 = 11 (x - 4)

Solve

x (x - 4) - 8 = 11 (x - 4) : x = 12, x = 3

x = 12, x = 3

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = 12, x = 3

y, x = \frac{5 y + 1}{2 y - 3}

\frac{x}{2 x - 4} - 5 = \frac{1}{x - 2}

\frac{2 x}{x + 1} = 2 - \frac{5}{2 x}

\frac{8}{7} = \frac{4}{x}

j, a = \frac{j + b}{j - c}