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

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

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

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

x = - 1

Solution steps

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

Multiply both sides by

x - 3

5 x - (x - 3) = - 1

Expand

5 x - (x - 3) : 4 x + 3

4 x + 3 = - 1

Move

3

to the right side

4 x = - 4

Divide both sides by

4

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = - 1

\frac{8}{x} = \frac{x}{2}

- \frac{1}{x ^{2}} = - \frac{1}{7}

19.11969 = 19.62 x + (\frac{1.5}{3 x})^{2}

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

\frac{x + 2}{x - 2} = a

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