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

The answer to x/(2x-3)=(x-4)/(3x) is x=-12,x=1

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

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

x = - 12, x = 1

Solution steps

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

Cross multiply

3 x^{2} = (2 x - 3) (x - 4)

Solve

3 x^{2} = (2 x - 3) (x - 4) : x = - 12, x = 1

x = - 12, x = 1

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{2}, x = 0

Combine undefined points with solutions:

x = - 12, x = 1

\frac{x - 2}{x + 1} = \frac{- 8}{x}

(x + \frac{1}{x})^{2} = 2

H, M A = \frac{8 T}{9 H}

(\frac{90}{x} + 2) (x - 5) = 90

6 - \frac{5}{z} = \frac{25}{z}

What is the answer to x/(2x-3)=(x-4)/(3x) ?
The answer to x/(2x-3)=(x-4)/(3x) is x=-12,x=1
Solve for x: x/(2x-3)=(x-4)/(3x)
The solution is x=-12,x=1