What is the answer to x-2/(x-3)=2 ?

The answer to x-2/(x-3)=2 is x=4,x=1

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x-2/(x-3)=2

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

x = 4, x = 1

Solution steps

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

Multiply both sides by

x - 3

x (x - 3) - 2 = 2 (x - 3)

Solve

x (x - 3) - 2 = 2 (x - 3) : x = 4, x = 1

x = 4, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 4, x = 1

u, Q = \frac{d}{1 - u}

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

1 = \frac{3}{m + 3} + \frac{3 m}{m + 3}

\frac{2}{5} = \frac{6}{b} - 2

t, R = \frac{C - S}{t}