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

To solve the equation 12x - (5x - 8) = 8 + 7x, we will first simplify the expression on both sides by removing the parentheses:

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

Now, we can group the x terms on one side of the equation and the constant terms on the other side:

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

Simplifying further, we have:

7x - 7x = 0

Now, both sides of the equation are equal to 0, indicating that the equation is identity and is always true. Therefore, the given equation has infinitely many solutions.