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

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

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

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

x = - 4, x = 3

Solution steps

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

Multiply by LCM

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

Solve

10 (x + 3) + 2 x (x + 2) = 3 (x + 2) (x + 3) : x = - 4, x = 3

x = - 4, x = 3

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = - 3

Combine undefined points with solutions:

x = - 4, x = 3

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

\frac{20}{x ^{2} - 4 x + 7} = x + 2

\frac{1}{x} - \frac{x}{6} = \frac{2}{3}

\frac{6 x - 7}{x + 7} - \frac{7}{6 x} = 6

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

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