What is the answer to 5/(x+3)+4/(x+2)=2 ?

The answer to 5/(x+3)+4/(x+2)=2 is x=2,x=-5/2

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5/(x+3)+4/(x+2)=2

\frac{5}{x + 3} + \frac{4}{x + 2} = 2

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

Decimal Notation

x = 2, x = - 2.5

Solution steps

\frac{5}{x + 3} + \frac{4}{x + 2} = 2

Multiply by LCM

5 (x + 2) + 4 (x + 3) = 2 (x + 3) (x + 2)

Solve

5 (x + 2) + 4 (x + 3) = 2 (x + 3) (x + 2) : x = 2, x = - \frac{5}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = - 2

Combine undefined points with solutions:

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

28 a^{- 2} + 45 a^{- 1} - 7 = 0

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

\frac{x ^{2} - 9}{3 - x} = x + 1

y, x = \frac{y + 2}{y - 3}

\frac{1}{x} + 4 = 0

What is the answer to 5/(x+3)+4/(x+2)=2 ?
The answer to 5/(x+3)+4/(x+2)=2 is x=2,x=-5/2
Solve for x: 5/(x+3)+4/(x+2)=2
The solution is x=2,x=-5/2