what is the expreshion 4+8(3x-2)-7x when simplifyed? apply the order of operations and the comuntative and distributive propertys.
To simplify the expression 4 + 8(3x-2)-7x, we need to follow the order of operations, which is commonly remembered as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
Let's break down the expression step-by-step:
1. Distributive property:
8(3x - 2) = 24x - 16
After applying the distributive property, the expression becomes:
4 + 24x - 16 - 7x
2. Combine like terms:
In this expression, the like terms are the ones containing an x.
24x - 7x = 17x
After combining like terms, the expression becomes:
4 + 17x - 16
3. Combine constant terms:
4 - 16 = -12
After combining constant terms, the expression simplifies to:
-12 + 17x
Therefore, the simplified expression is -12 + 17x.