To solve the equation, we will first simplify both sides by simplifying the expressions and combining like terms:
12x - (5x - 8) = 8 + 7x
Distribute the negative sign through the parentheses:
12x - 5x + 8 = 8 + 7x
Combine like terms:
(12x - 5x) + 8 = 8 + 7x
7x + 8 = 8 + 7x
Now, we can see that both sides of the equation have the same expression, 7x, so we can conclude that the equation is an identity, meaning the equation is true for all values of x.
So the solution to this equation is all real numbers.
