Simplify the expression:
14(8x−6)+3.5x−15÷5
To simplify this expression, we follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and then addition and subtraction (from left to right).
First, we simplify within the parentheses: 8x - 6
Next, we simplify the multiplication: 14 * (8x - 6)
Then, we simplify the division: 15 ÷ 5
Finally, we add or subtract the remaining terms: (14 * (8x - 6)) + 3.5x - (15 ÷ 5)
Therefore, the expression cannot be simplified further without knowing the specific value of x.
Simplify the expression:
14(8x−6)+3.5x−15÷5
(1 point)
Responses
5x−7
5 x minus 7
5.5x−4.5
5 point 5 x minus 4 point 5
14x+3
14 x plus 3
4.5x+3
To simplify the given expression:
14(8x−6) + 3.5x − 15 ÷ 5
First, simplify the expression inside the parentheses:
8x - 6
Next, distribute 14 to 8x and -6:
112x - 84 + 3.5x - 15 ÷ 5
Now, simplify the division of 15 by 5:
112x - 84 + 3.5x - 3
Combine like terms:
112x + 3.5x - 84 - 3
115.5x - 87
The simplified expression is:
115.5x - 87
To simplify the expression, let's apply the order of operations (PEMDAS).
Step 1: Simplify within parentheses:
Inside the parentheses, distribute 14 to both terms:
14 * 8x = 112x
14 * -6 = -84
So, the expression becomes:
112x - 84 + 3.5x - 15 ÷ 5
Step 2: Simplify any division or multiplication:
-15 ÷ 5 = -3
Now our expression becomes:
112x - 84 + 3.5x - 3
Step 3: Combine like terms:
Combine the x terms (112x + 3.5x):
112x + 3.5x = 115.5x
Combine the constants (-84 - 3):
-84 - 3 = -87
So, the simplified expression is:
115.5x - 87