What is the answer to 4/(x+3)-9/(x-2)=5 ?

The answer to 4/(x+3)-9/(x-2)=5 is x=-1

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4/(x+3)-9/(x-2)=5

\frac{4}{x + 3} - \frac{9}{x - 2} = 5

x = - 1

Solution steps

\frac{4}{x + 3} - \frac{9}{x - 2} = 5

Multiply by LCM

4 (x - 2) - 9 (x + 3) = 5 (x + 3) (x - 2)

Solve

4 (x - 2) - 9 (x + 3) = 5 (x + 3) (x - 2) : x = - 1

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = 2

Combine undefined points with solutions:

x = - 1

\frac{1}{x} = \frac{1}{9}

\frac{6}{z + 4} = 12

x, \frac{3 w + 2 y}{x} = 4

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

\frac{x + 6}{x} = 12

What is the answer to 4/(x+3)-9/(x-2)=5 ?
The answer to 4/(x+3)-9/(x-2)=5 is x=-1
Solve for x: 4/(x+3)-9/(x-2)=5
The solution is x=-1