Solve 3/4 - 1/x = 1/(2x)?

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multiply by 4x both sides
3x-4=2
x=2

3/4 - 1/x = 1/2x multiply each side by 4x
4x(3/4 - 1/x) = 4x(1/2x) simplify
3x - 4 = 2 simplify further
3x = 2 + 4 simplify further
3x = 6
x = 6/3
x = 2

Answer: x = 2

Proof:
3/4 - 1/2 = 1/(2[2])
3/4 - 2/4 = 1/4
1/4 = 1/4

3x - 4 = 2
3x = 6
x = 2

Congratulations
You presented the question in a clear fashion by using brackets.
Many fail to do so.

3/4 - 1/x = 1/(2x)
-1/(2x) - 1/x = -3/4
4x[-1/(2x) - 1/x] = 4x[-3/4]
-2 - 4 = -3x
3x = 2 + 4
3x = 6
x = 6/3
x = 2

(3x / 4x) - (4 / 4x) = (1 / 2x)
(3x - 4) / (4x) = 1 / (2x)
2x (3x - 4) = (1) 4x
[2x (3x - 4)] / (2x) = 4x / (2x)
3x - 4= 2
3x = 6
x = 2

3/4 = 1/x + 1/2x

3/4 = 2/2x + 1/2x

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

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

x = 2

(3x/4x)-(4/4x)=(1/2x)
(3x-4)/4x=(1/2x)
cross multiply
2x(3x-4)=4x
divide both sides by 2x
3x-4=2
3x=6
x=2

what is the value of x