Final answer:
To solve the equation 16(3x - 6) = 18(4x + 8), distribute and simplify, combine like terms, and solve for x.
Step-by-step explanation:
To solve the equation 16(3x - 6) = 18(4x + 8), we need to distribute the 16 and 18 and then simplify. This gives us 48x - 96 = 72x + 144.
Next, we can combine like terms by subtracting 72x from both sides and adding 96 to both sides. This gives us 48x - 72x = 144 + 96.
Simplifying further, we get -24x = 240. Dividing both sides by -24 gives us x = -10.