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

The answer to -1+(3x)/(x-5)= 1/(x-5) is x=-2

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

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

x = - 2

Solution steps

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

Multiply both sides by

x - 5

- (x - 5) + 3 x = 1

Expand

- (x - 5) + 3 x : 2 x + 5

2 x + 5 = 1

Move

5

to the right side

2 x = - 4

Divide both sides by

2

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = - 2

\frac{2 x}{x + 1} + 6 = \frac{2}{x ^{2} + x}

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

5 - \frac{100}{x ^{2}} = 0

\frac{x - 4}{x} = \frac{2 x + 10}{x + 4}

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

What is the answer to -1+(3x)/(x-5)= 1/(x-5) ?
The answer to -1+(3x)/(x-5)= 1/(x-5) is x=-2
Solve for x: -1+(3x)/(x-5)= 1/(x-5)
The solution is x=-2