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

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

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

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

x = 3

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 = 6

Divide both sides by

2

x = 3

Verify Solutions

Find undefined (singularity) points:

x = - 5

Combine undefined points with solutions:

x = 3

x - \frac{x + 7}{x + 5} = \frac{5}{x + 5}

\frac{3}{2 x} - \frac{4}{5 x} = 1

\frac{x + 5}{x + 8} = 1 + \frac{6}{x + 1}

\frac{3}{y - 3} = \frac{12}{y + 3}

4 x^{- 1} = 16

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