First, multiply out 7(x-4); the correct product is 7x-28. This 7x-28 matches the last (fourth) answer choice. 7(x-4) = 84 is equivalent to 7x - 28=84.
To solve for x, consolidate the constant terms on one side of this equation. Add 28 to both sides, resulting in 7x = 112.
Dividing both sides by 7 results in x = 112/7, or x = 16.
The solution to 7(x – 4) = 84 is 16.