Final answer:
The equation 5x = 7x - 2(x - 8) is false
Step-by-step explanation:
The statement is true.
To determine if the equation 5x = 7x - 2(x - 8) is true or false, we need to simplify it.
Step 1: Distribute the -2 to (x - 8) to get 5x = 7x - 2x + 16.
Step 2: Simplify the equation to get 5x = 5x + 16.
Step 3: Subtract 5x from both sides to get 0 = 16.
Since the equation simplifies to 0 = 16, which is a false statement, the original equation 5x = 7x - 2(x - 8) is false.
The correct statement is false.