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

The answer to 3/(x+3)+2/(x+2)=2 is x=0,x=-5/2

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

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

x = 0, x = - \frac{5}{2}

Decimal Notation

x = 0, x = - 2.5

Solution steps

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

Multiply by LCM

3 (x + 2) + 2 (x + 3) = 2 (x + 3) (x + 2)

Solve

3 (x + 2) + 2 (x + 3) = 2 (x + 3) (x + 2) : x = 0, x = - \frac{5}{2}

x = 0, x = - \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = - 2

Combine undefined points with solutions:

x = 0, x = - \frac{5}{2}

x^{- 1} = 1

x^{- 1} = 3

\frac{2.5}{6} = \frac{4}{m}

\frac{x}{x ^{2}} = 25

\frac{25}{x} = 5

What is the answer to 3/(x+3)+2/(x+2)=2 ?
The answer to 3/(x+3)+2/(x+2)=2 is x=0,x=-5/2
Solve for x: 3/(x+3)+2/(x+2)=2
The solution is x=0,x=-5/2