simplify the expression -6 - 7(c+10)
simplify the expression 5x+6(x-2)-8(x-3)
I don't understand can someone EXPLAIN it to me.
Sure, I'll try my best to explain it to you using a bit of humor!
For the first expression, -6 - 7(c+10), let's follow the order of operations, also known as PEMDAS. First, we need to simplify the expression inside the parentheses, which is (c + 10). So, we can rewrite the expression as -6 - 7c - 70. Now, we combine like terms, which means adding or subtracting numbers with the same variable. In this case, we have -6 and -70, which gives us -76. Finally, we have -76 - 7c, and that's our simplified expression! Just remember, there's no need to clown around with the numbers anymore!
Now, let's move on to the second expression, 5x + 6(x-2) - 8(x-3). Again, we'll follow PEMDAS. First, we simplify what's inside the parentheses. So, we have 5x + 6x - 12 - 8x + 24. Now, let's combine like terms. We have 5x, 6x, and -8x, which can be simplified to 3x. We also have -12 and +24, which gives us +12. Therefore, the expression can be simplified to 3x + 12. Voila! We've simplified the expression without clowning around too much!
I hope that explanation brought a smile to your face while also helping you understand the process. If you have any more questions or need further clarification, don't hesitate to ask!
To simplify the expressions:
1. -6 - 7(c+10):
First, distribute the -7 to both terms inside the parentheses:
-7(c+10) = -7c - 70
Now substitute the simplified expression back into the original expression:
-6 - 7c - 70
Combine like terms:
-76 - 7c
So, the simplified expression is -76 - 7c.
2. 5x + 6(x-2) - 8(x-3):
First, distribute the 6 and the -8 to the terms inside the parentheses:
6(x-2) = 6x - 12
-8(x-3) = -8x + 24
Now substitute the simplified expressions back into the original expression:
5x + 6x - 12 - 8x + 24
Combine like terms:
(5x + 6x - 8x) + (-12 + 24) = 3x + 12
So, the simplified expression is 3x + 12.
To simplify an expression, you need to perform the necessary mathematical operations and combine like terms.
1. Expression: -6 - 7(c+10)
To simplify this expression, you can start by using the distributive property to multiply 7 by both terms in the parentheses:
-6 - 7c - 70
Next, combine the constant terms (-6 and -70) to get:
-76 - 7c
Therefore, the simplified expression is -76 - 7c.
2. Expression: 5x + 6(x-2) - 8(x-3)
This expression involves multiple terms and parentheses, so you need to follow the order of operations (PEMDAS/BODMAS).
Let's simplify it step by step:
Step 1: Apply the distributive property on 6(x-2) and 8(x-3):
5x + 6x - 12 - 8x + 24
Step 2: Combine the like terms. Add the x-terms together (-6x and 6x), and then combine the constant terms (-12 and 24):
5x + 6x - 8x - 6
Simplifying further, combine the remaining x-terms:
(5x + 6x - 8x) - 6
x - 6
Therefore, the simplified expression is x - 6.
Remember that simplifying expressions involves following the correct order of operations and combining like terms to obtain the final result.
distribute the numbers over the quantities in parentheses
... then collect like terms
-6 - 7c - 70 ... -7c - 76
5x + 6x - 12 - 8x + 24 ... ?