Answer:

Sure, let's solve the equation step by step:

15 - 3x = (2x + 1)(2x - 1) - (2x - 1)(2x + 3)

First, let's simplify the right side of the equation using the distributive property:

15 - 3x = (4x^2 - 1) - (4x^2 + 2x - 2x - 3)

Next, let's combine like terms:

15 - 3x = 4x^2 - 1 - 4x^2 - 3

Simplifying further:

15 - 3x = -4

Now, let's isolate the variable by moving the constants to the other side:

-3x = -4 - 15

Simplifying:

-3x = -19

Finally, let's solve for x by dividing both sides by -3:

x = (-19) / (-3)

Simplifying the fraction:

x = 19/3

So, the solution to the equation is x = 19/3.