What is the expression of 4+ 8(3x- 2)-7x when simplified? Apply the order of operations and the commutative and distributive properties show how to answer
To simplify the expression 4+ 8(3x- 2)-7x, we must remember to follow the Order of Operations, which tells us to work within parentheses first, then perform exponentiation, followed by multiplication and division (from left to right), and finally addition and subtraction (from left to right).
1. Let's simplify the expression inside the parentheses first:
8(3x- 2) = 24x - 16
Now our expression becomes: 4 + 24x - 16 - 7x
2. Next, let's combine like terms:
(Note that -7x and +24x are like terms because they both have the variable "x.")
24x - 7x = 17x
Now our expression becomes: 4 - 16 + 17x
3. Finally, let's combine like terms again:
4 - 16 = -12
Therefore, the simplified expression is: -12 + 17x