The given equation is
1/8(2x - 1) = 1/4(x - 1/4)
The first step is to multiply both sides of the equation by 8. We have
8 * 1/8(2x - 1) = 8 * 1/4(x - 1/4)
2x - 1 = 2(x - 1/4)
By expanding the parentheses on the right, it becomes
2x - 1 = 2 * x + 2 * - 1/4
2x - 1 = 2x - 1/2
Subtracting 2x from both sides, we have
2x - 2x - 1 = 2x - 2x - 1/2
- 1 = - 1/2
We knpw that - 1 is not equal to - 1/2
Thus, there is no solution