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

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

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

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

a = - \frac{19}{8}

Decimal

a = - 2.375

Solution steps

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

Multiply by LCM

- 5 a - 10 = 3 a + 9

Move

10

to the right side

- 5 a = 3 a + 19

Move

3 a

to the left side

- 8 a = 19

Divide both sides by

- 8

a = - \frac{19}{8}

Verify Solutions

Find undefined (singularity) points:

a = - 3, a = - 2

Combine undefined points with solutions:

a = - \frac{19}{8}

- \frac{6 x}{x - 7} - 9 = \frac{3}{x - 7}

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

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

\frac{1}{2 x} + \frac{1}{4 x} = \frac{3}{12}

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

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