What is the expression 4+8(3x-2)-7x when simplified apply the order of operations and communicative and distributive property show all your work
To simplify the expression 4 + 8(3x - 2) - 7x, we need to apply the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
First, let's simplify what is inside the parentheses (3x - 2):
4 + 8(3x - 2) - 7x
= 4 + 8(3x) + 8(-2) - 7x
= 4 + 24x - 16 - 7x
Next, we can combine like terms:
= 24x - 7x + 4 - 16
= 17x - 12
Therefore, the simplified expression is 17x - 12.