What is the answer to (2x-1)/(x-3)-1=0 ?

The answer to (2x-1)/(x-3)-1=0 is x=-2

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(2x-1)/(x-3)-1=0

\frac{2 x - 1}{x - 3} - 1 = 0

x = - 2

Solution steps

\frac{2 x - 1}{x - 3} - 1 = 0

Multiply both sides by

x - 3

2 x - 1 - (x - 3) = 0

Move

1

to the right side

2 x - (x - 3) = 1

Expand

2 x - (x - 3) : x + 3

x + 3 = 1

Move

3

to the right side

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = - 2

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\frac{3}{x - 6} = \frac{5}{x}

\frac{- 9}{4 x} = \frac{3}{4 x - 16}