What is the answer to x-2/(x-4)=5 ?

The answer to x-2/(x-4)=5 is x=6,x=3

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x-2/(x-4)=5

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

x = 6, x = 3

Solution steps

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

Multiply both sides by

x - 4

x (x - 4) - 2 = 5 (x - 4)

Solve

x (x - 4) - 2 = 5 (x - 4) : x = 6, x = 3

x = 6, x = 3

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = 6, x = 3

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

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

\frac{8}{x ^{3}} = 0

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

x + \frac{10}{x} = 7