To solve the equation, we will combine like terms and then isolate the variable on one side of the equation:
-2x + 7 + 8x = 2 + 6x + 5
Combine like terms:
6x + 7 = 7 + 6x
Subtract 6x from both sides:
6x - 6x + 7 = 7 + 6x - 6x
7 = 7
Both sides of the equation are equal. This equation represents an identity, which means it has infinite solutions.