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

The answer to (3x)/(x-5)=(4x)/(x+2) is x=0,x=26

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

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

x = 0, x = 26

Solution steps

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

Cross multiply

3 x (x + 2) = (x - 5) \cdot 4 x

Solve

3 x (x + 2) = (x - 5) \cdot 4 x : x = 0, x = 26

x = 0, x = 26

Verify Solutions

Find undefined (singularity) points:

x = 5, x = - 2

Combine undefined points with solutions:

x = 0, x = 26

\frac{1}{x ^{2} - 1} = 0

- \frac{1}{x} + \frac{2}{45 x} = 43

\frac{x - 5}{x ^{2} - 3 x - 10} = 2

\frac{18}{26} = \frac{3}{g + 4}

\frac{x}{x + 3} = \frac{x + 3}{x + 7}

What is the answer to (3x)/(x-5)=(4x)/(x+2) ?
The answer to (3x)/(x-5)=(4x)/(x+2) is x=0,x=26
Solve for x: (3x)/(x-5)=(4x)/(x+2)
The solution is x=0,x=26