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

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

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

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

x = 3, x = 9

Solution steps

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

Cross multiply

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

Solve

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

x = 3, x = 9

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{2}, x = 4

Combine undefined points with solutions:

x = 3, x = 9

\frac{1}{x - 1} + \frac{1}{x + 2} = \frac{5}{4}

\frac{2}{x} + \frac{5}{3} = \frac{7}{x}

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

\frac{10}{3} = \frac{4}{x}

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

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