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

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

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

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

x = 4

Solution steps

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

Multiply by LCM

1 = x - 3

Switch sides

x - 3 = 1

Move

3

to the right side

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4

\frac{5}{3 n - 8} = \frac{n}{n + 2}

\frac{x ^{3} + 10 x ^{2} + 25 x}{x + 5} = 0

182. 5^{2} = \frac{1}{x} 0. 7^{3}

8 - \frac{7}{x ^{2} + 6 x} = \frac{x}{x + 6}

\frac{2 q}{2 q + 3} - \frac{2 q}{2 q - 3} = 1

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