What is the answer to x-(x+2)/(x+3)= 1/(x+3) ?

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

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x-(x+2)/(x+3)= 1/(x+3)

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

x = 1

Solution steps

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

Multiply both sides by

x + 3

x (x + 3) - (x + 2) = 1

Solve

x (x + 3) - (x + 2) = 1 : x = 1, x = - 3

x = 1, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 3

Since the equation is undefined for:

- 3

x = 1

\frac{8}{20} = \frac{10}{x}

\frac{4}{x} - \frac{5}{3} = \frac{x}{6}

\frac{x - 5}{4} + \frac{5}{x + 2} = \frac{7}{2}

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

\frac{1}{x + 1} = \frac{1}{1.3}

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