To solve for x, we first need to isolate x on one side of the equation.

First, we simplify the left side of the equation by multiplying both sides by 8 to get rid of the fraction:

8 * (15/23) * (x - 3/8) = 8 * (25/46)
120/23 * (x - 3/8) = 200/46

Next, we distribute the 120/23 to both terms inside the parentheses:

120/23 * x - 120/23 * 3/8 = 200/46

120/23 * x - 360/184 = 200/46

Now, we simplify the equation further:

120/23 * x - 360/184 = 200/46
(120/23)x - 45/23 = 100/23

Now, we add 45/23 to both sides of the equation to isolate x:

(120/23)x = 100/23 + 45/23
(120/23)x = 145/23

Finally, we divide by 120/23 to solve for x:

x = (145/23) / (120/23)
x = 145/120
x = 1.20833333333

Therefore, the solution to the equation is x = 1.20833333333.