What is the expression up 4+8(3x-2)-7x when simplify apply the order of operations and communicative and distributive properties show your work
To simplify the expression 4 + 8(3x-2) - 7x using the order of operations and distributive properties, you can follow these steps:
1. Start by simplifying the multiplication inside the parentheses: 8(3x-2) = 24x - 16.
So, the expression becomes: 4 + 24x - 16 - 7x.
2. Combine like terms (terms with the same variable): 24x - 7x = 17x.
So, the expression becomes: 4 + 17x - 16.
3. Continue combining like terms: 4 - 16 = -12.
So, the final simplified expression is: -12 + 17x.
To simplify the expression 4+8(3x-2)-7x and apply the order of operations, we can follow these steps:
Step 1: Simplify inside the parentheses using the distributive property.
3x * 8 = 24x
-2 * 8 = -16
Therefore, the expression becomes:
4 + 24x - 16 - 7x
Step 2: Combine like terms (x terms and constant terms) by adding or subtracting them.
24x - 7x = 17x
The simplified form of the expression is:
4 + 17x - 16
Step 3: Combine the constant terms.
4 - 16 = -12
The final simplified expression is:
-12 + 17x or 17x - 12
So, the simplified form of the expression 4+8(3x-2)-7x is 17x - 12.
To simplify the given expression, let's follow the order of operations, including the commutative and distributive properties:
1. Start by distributing the 8 to the terms inside the parentheses:
4 + 8 * 3x - 8 * 2 - 7x
2. Multiply the coefficients by the variables within each term:
4 + 24x - 16 - 7x
3. Combine like terms:
(24x - 7x) + (4 - 16)
Simplifying the "x" terms: (24 - 7)x
Simplifying the constant terms: 4 - 16
4. Calculate the simplified terms:
17x + (-12)
Note: (-16 + 4) equals -12
5. Combine the simplified terms:
17x - 12
Therefore, the simplified expression is 17x - 12.