What is the expression 4+8(3x−2)−7x when simplified? Apply the order of operations and the commutative and distributive properties. Show all your work 4point
To simplify the expression 4+8(3x−2)−7x, we need to apply the order of operations and the commutative and distributive properties.
First, we need to simplify the expression inside the parentheses:
3x - 2
Next, we need to distribute the 8 to the terms inside the parentheses:
8(3x - 2) = 24x - 16
Now, our expression becomes:
4 + 24x - 16 - 7x
Next, we combine the like terms:
(24x - 7x) + (4 - 16) = 17x - 12
Therefore, the simplified expression is 17x - 12.
can you make it sound human
Sure! Let's simplify the expression 4+8(3x−2)−7x step by step, taking into account the order of operations and the commutative and distributive properties.
First, let's focus on the expression inside the parentheses: 3x - 2.
Now, let's distribute the 8 to each term inside the parentheses: 8(3x - 2) = 24x - 16.
After distributing, our expression becomes: 4 + 24x - 16 - 7x.
Next, let's combine the like terms: (24x - 7x) + (4 - 16) = 17x - 12.
So, in simpler terms, the expression 4+8(3x−2)−7x simplifies to 17x - 12.