To solve the equation 12x - (5x - 8) = 8 + 7x, we can simplify the equation by expanding the brackets and combining like terms:
12x - 5x + 8 = 8 + 7x
7x + 8 = 8 + 7x (Rearranging the terms)
Now, let's subtract 7x from both sides:
7x - 7x + 8 = 8 + 7x - 7x
8 = 8
The equation simplifies to 8 = 8, which is always true. This means that the equation has an infinite number of solutions and can be any value for x.
