12x-(5x-8)=8+7x

Let's solve the equation step by step:

First, distribute the negative sign to the terms inside the parentheses:

12x - 5x + 8 = 8 + 7x

Combine like terms on both sides:

(12x - 5x) + 8 = 8 + 7x 7x + 8 = 8 + 7x

Notice that we have 7x terms on both sides. Subtract 7x from both sides to eliminate them:

7x + 8 - 7x = 8 + 7x - 7x 8 = 8

We are left with 8 = 8, which is a true statement. This means that the equation is an identity, so it is true for any value of x.

Therefore, the solution to the equation is all real numbers.

In summary, the solution to the equation 12x - (5x - 8) = 8 + 7x is x ∈ ℝ (all real numbers).