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

To solve the equation, we will simplify both sides of the equation and then isolate the variable.

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

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

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

Combine like terms on both sides of the equation.

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

7x + 8 = 8 + 7x

Notice that both sides of the equation have the same terms. Subtract 7x from both sides of the equation to eliminate the variable term.

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

8 = 8

The equation 8 = 8 is true, which means that the given equation is an identity. In other words, any value of x will satisfy the equation. Therefore, the solution to the equation is all real numbers.