What is the answer to (5x-4)/2 =(12)/(2x) ?

The answer to (5x-4)/2 =(12)/(2x) is x=2,x=-6/5

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(5x-4)/2 =(12)/(2x)

\frac{5 x - 4}{2} = \frac{12}{2 x}

x = 2, x = - \frac{6}{5}

Decimal Notation

x = 2, x = - 1.2

Solution steps

\frac{5 x - 4}{2} = \frac{12}{2 x}

Cross multiply

(5 x - 4) x = 12

Solve

(5 x - 4) x = 12 : x = 2, x = - \frac{6}{5}

x = 2, x = - \frac{6}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - \frac{6}{5}

\frac{4}{x} = \frac{1}{14}

\frac{5}{x + 4} - 8 = 0

0.25 = \frac{25}{x}

\frac{1}{x} = - x

\frac{16}{x} - 3 = 5

What is the answer to (5x-4)/2 =(12)/(2x) ?
The answer to (5x-4)/2 =(12)/(2x) is x=2,x=-6/5
Solve for x: (5x-4)/2 =(12)/(2x)
The solution is x=2,x=-6/5