What is the answer to x-(x+5)/(x+6)= 1/(x+6) ?

The answer to x-(x+5)/(x+6)= 1/(x+6) is x=1

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x-(x+5)/(x+6)= 1/(x+6)

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

x = 1

Solution steps

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

Multiply both sides by

x + 6

x (x + 6) - (x + 5) = 1

Solve

x (x + 6) - (x + 5) = 1 : x = 1, x = - 6

x = 1, x = - 6

Verify Solutions

Find undefined (singularity) points:

x = - 6

Since the equation is undefined for:

- 6

x = 1

- \frac{6}{x + 2} - 2 = - \frac{x}{x + 2}

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

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

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

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

What is the answer to x-(x+5)/(x+6)= 1/(x+6) ?
The answer to x-(x+5)/(x+6)= 1/(x+6) is x=1
Solve for x: x-(x+5)/(x+6)= 1/(x+6)
The solution is x=1