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

To solve this equation, we can start by applying the distributive property:

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

Simplify the terms inside the parentheses:

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

Combine like terms:

7x + 8 = 8 + 7x

Now, we can subtract 7x from both sides of the equation to eliminate the x term:

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

8 = 8

The equation 8 = 8 is true. This means that the original equation is an identity, which means the solution is all real numbers. In other words, the equation has infinite solutions.