What is the answer to x-(3x+5)/(x+2)= 1/(x+2) ?

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

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x-(3x+5)/(x+2)= 1/(x+2)

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

x = 3

Solution steps

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

Multiply both sides by

x + 2

x (x + 2) - (3 x + 5) = 1

Solve

x (x + 2) - (3 x + 5) = 1 : x = 3, x = - 2

x = 3, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = - 2

Since the equation is undefined for:

- 2

x = 3

\frac{1}{6} + \frac{1}{y} = \frac{1}{3}

\frac{7 - 3 x}{5 - x} - \frac{2 x}{3 - x} = 8

\frac{x}{x + 2} + 1 = \frac{4}{x ^{2} + 2 x}

F, M = \frac{d}{F}

1 + \frac{5}{x - 2} = \frac{2}{x ^{2} - 4}

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