What is the answer to (5x)/(2x-1)+(2x)/(3x+2)=3 ?

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

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(5x)/(2x-1)+(2x)/(3x+2)=3

\frac{5 x}{2 x - 1} + \frac{2 x}{3 x + 2} = 3

x = - 3, x = - 2

Solution steps

\frac{5 x}{2 x - 1} + \frac{2 x}{3 x + 2} = 3

Multiply by LCM

5 x (3 x + 2) + 2 x (2 x - 1) = 3 (2 x - 1) (3 x + 2)

Solve

5 x (3 x + 2) + 2 x (2 x - 1) = 3 (2 x - 1) (3 x + 2) : x = - 3, x = - 2

x = - 3, x = - 2

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = - 3, x = - 2

\frac{1}{x} + \frac{1}{x - 3} = \frac{2}{x - 4}

\frac{x - 14}{x - 15} = \frac{14}{13}

\frac{2369}{( x + 76 )} = 23

f, f (x - 3) = \frac{3}{x - 3}

\frac{1}{x} - \frac{3}{7 x} = \frac{8}{21}

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