What is the expression 4 + 8 (3x - 2) - 7x when simplified apply the order of operations and commutative and distributive properties
To simplify the expression 4 + 8 (3x - 2) - 7x, we will apply the order of operations and then use the distributive and commutative properties.
1. Start by simplifying what is inside the parentheses: 3x - 2.
4 + 8(3x - 2) - 7x
= 4 + 24x - 16 - 7x (distributive property)
2. Next, combine like terms by adding and subtracting the coefficients of the x terms.
= (24x - 7x) + 4 - 16 (commutative property)
= 17x + 4 - 16
= 17x - 12
Therefore, the simplified expression is 17x - 12.
To simplify the expression 4 + 8(3x - 2) - 7x using the order of operations (PEMDAS) and the commutative and distributive properties, follow these steps:
Step 1: Simplify within parentheses
- Multiply 8 by each term inside the parentheses: 8(3x) and 8(-2)
- This gives us: 4 + 24x - 16 - 7x
Step 2: Combine like terms
- Combine 24x and -7x to get 17x
- Combine the constant terms 4 and -16 to get -12
- The expression becomes: 17x - 12
So, the simplified expression is 17x - 12.
To simplify the expression 4 + 8(3x - 2) - 7x using the order of operations and the commutative and distributive properties, follow these steps:
Step 1: Apply the distributive property
The distributive property states that a number multiplied by a sum can be distributed to each term inside the parentheses. In this case, we can distribute the 8 to both terms inside the parentheses:
4 + 8(3x - 2) - 7x
= 4 + (8 * 3x) - (8 * 2) - 7x
= 4 + 24x - 16 - 7x
Step 2: Combine like terms
Combine the terms that have the same variables, which in this case are the terms with x:
4 + 24x - 16 - 7x
= (24x - 7x) + 4 - 16
= 17x - 12
Therefore, the simplified expression 4 + 8(3x - 2) - 7x, when applying the order of operations and the commutative and distributive properties, is equal to 17x - 12.