To solve the equation, we can start by simplifying both sides:

1/2x - 75% = 3/5(x - 2)

To simplify the left side, we need to convert 75% to a decimal. 75% is equal to 0.75, so the equation becomes:

1/2x - 0.75 = 3/5(x - 2)

Next, we can distribute the 3/5 on the right side:

1/2x - 0.75 = (3/5)x - (3/5)(2)
1/2x - 0.75 = (3/5)x - 6/5

Now, let's get rid of the fractions by multiplying every term by the least common denominator (LCD), which is 10:

10 * (1/2x) - 10 * 0.75 = 10 * (3/5)x - 10 * (6/5)
5x - 7.5 = 6x - 12

Next, let's isolate the x terms on one side by subtracting 6x from both sides:

5x - 6x - 7.5 = 6x - 6x - 12
-x - 7.5 = -12

Now, let's isolate the x term by adding 7.5 to both sides:

-x - 7.5 + 7.5 = -12 + 7.5
-x = -4.5

Finally, we can solve for x by multiplying both sides by -1:

(-1)(-x) = (-1)(-4.5)
x = 4.5

Therefore, the solution to the equation is x = 4.5.