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

The answer to (x-2)/(x+3)-1= 3/(x+2) is x=-19/8

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

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

x = - \frac{19}{8}

Decimal Notation

x = - 2.375

Solution steps

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

Multiply by LCM

- 5 x - 10 = 3 x + 9

Move

10

to the right side

- 5 x = 3 x + 19

Move

3 x

to the left side

- 8 x = 19

Divide both sides by

- 8

x = - \frac{19}{8}

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = - 2

Combine undefined points with solutions:

x = - \frac{19}{8}

x - \frac{12}{x} = - 1

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

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

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

\frac{8}{x ^{3}} = 0

What is the answer to (x-2)/(x+3)-1= 3/(x+2) ?
The answer to (x-2)/(x+3)-1= 3/(x+2) is x=-19/8
Solve for x: (x-2)/(x+3)-1= 3/(x+2)
The solution is x=-19/8