To solve this equation, we first need to simplify the right side of the equation:

|(-3)/64| = 3/64

Now, we can rewrite the equation as:

(1/2)^(x+1) + (1/2)^(x+2) = 3/64

Next, we can rewrite the fractions with the same base:

(1/2)^(x+1) + (1/2)^(x+1)*(1/2) = 3/64

Now, we can combine the terms with the same base:

(1/2)^(x+1) + (1/2)^(x+1+1) = 3/64

(1/2)^(x+1) + (1/2)^(x+2) = 3/64

Now, we have the same equation as the original one. This means that the solution to the equation is x = -1.