What is the answer to 3/(x-2)+8/(x+3)=2 ?

The answer to 3/(x-2)+8/(x+3)=2 is x=5,x=-1/2

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3/(x-2)+8/(x+3)=2

\frac{3}{x - 2} + \frac{8}{x + 3} = 2

x = 5, x = - \frac{1}{2}

Decimal Notation

x = 5, x = - 0.5

Solution steps

\frac{3}{x - 2} + \frac{8}{x + 3} = 2

Multiply by LCM

3 (x + 3) + 8 (x - 2) = 2 (x - 2) (x + 3)

Solve

3 (x + 3) + 8 (x - 2) = 2 (x - 2) (x + 3) : x = 5, x = - \frac{1}{2}

x = 5, x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 3

Combine undefined points with solutions:

x = 5, x = - \frac{1}{2}

\frac{5}{p + 5} = - 10

\frac{2}{x} = - 3

(x - 3)^{2} = \frac{1}{( x - 3 ) ^{2}}

\frac{3 x}{x - 1} + \frac{1}{x} = 4

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

What is the answer to 3/(x-2)+8/(x+3)=2 ?
The answer to 3/(x-2)+8/(x+3)=2 is x=5,x=-1/2
Solve for x: 3/(x-2)+8/(x+3)=2
The solution is x=5,x=-1/2