Final answer:
To solve the equation (20 - 4(x - 5) = 2x + 16, distribute the -4 to the terms inside the parentheses, combine like terms, isolate the variable terms, and solve for x.
Step-by-step explanation:
To solve the equation (20 - 4(x - 5) = 2x + 16, you need to follow these steps:
- Distribute the -4 to the terms inside the parentheses to get 20 - 4x + 20 = 2x + 16.
- Combine like terms on both sides of the equation to simplify it. 40 - 4x = 2x + 16.
- Isolate the variable terms on one side and the constant terms on the other side. Add 4x to both sides to get 40 = 6x + 16.
- Subtract 16 from both sides to get 24 = 6x.
- Divide both sides by 6 to solve for x. x = 4.