What is the answer to 1/(x-3)-1= 5/(x-3) ?

The answer to 1/(x-3)-1= 5/(x-3) is x=-1

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1/(x-3)-1= 5/(x-3)

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

x = - 1

Solution steps

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

Multiply both sides by

x - 3

1 - (x - 3) = 5

Move

1

to the right side

- (x - 3) = 4

Divide both sides by

- 1

x - 3 = - 4

Move

3

to the right side

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = - 1

6^{- 7} = \frac{1}{x}

\frac{5}{6} = \frac{1}{x - 2}

10 = \frac{5}{x}

\frac{3 y + 5}{2 y} = 3

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

What is the answer to 1/(x-3)-1= 5/(x-3) ?
The answer to 1/(x-3)-1= 5/(x-3) is x=-1
Solve for x: 1/(x-3)-1= 5/(x-3)
The solution is x=-1