1/(x-2)=1

Solution

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

x = 3

Solution steps

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

Multiply both sides by

x - 2

1 = x - 2

Switch sides

x - 2 = 1

Move

2

to the right side

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 3

\frac{2}{x + 2} = \frac{x - 4}{8}

\frac{9}{x} - \frac{x}{3} = 2

\frac{( y + 2 ) ( y + 3 )}{( y + 2 )} = 1

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

\frac{4}{y + 2} = \frac{7}{y - 4}