Can someone explain how to do this problem? I got a different answer than my teacher...
3[5-2(x+1)]
I got 9x+9 and my teacher said it was 9-6x
3[5-2(x+1)]
3 [5 - 2x - 2]
15 - 6x - 6
9 - 6x
I agree with your teacher.
3[5-(2x+1(2))]= 3[5-(2x+2)]
3[5-2x-2]= 3[3-2x]= 9-6x
To simplify the expression 3[5-2(x+1)], follow these steps:
Step 1: Start by simplifying the expression inside the parentheses.
(x+1) has no like terms to combine or any operations to perform, so we leave it as it is.
3[5-2(x+1)] simplifies to 3[5-2x-2].
Step 2: Distribute the 3 to all the terms inside the brackets.
This means multiplying 3 by each term.
3[5-2x-2] becomes 3*5 - 3*2x - 3*2.
Step 3: Perform the multiplications.
3*5 = 15
3*2x = 6x
3*2 = 6
Step 4: Combine like terms.
The expression now becomes 15 - 6x - 6.
Step 5: Combine the constants.
15 - 6 = 9.
Therefore, the simplified expression is 9 - 6x.
It seems like your teacher's answer is correct, 9 - 6x, rather than 9x + 9, which may have been a calculation error.
Sure! Let's solve this expression step by step.
To simplify the expression 3[5-2(x+1)], we need to apply the distributive property.
First, distribute the 3 to each term inside the brackets:
3 * 5 = 15
3 * -2(x+1) = -6(x+1)
Now, let's simplify the expression inside the brackets, -6(x+1):
-6(x+1) = -6 * x - 6 * 1 = -6x - 6
Now, we have the expression 15 - 6x - 6.
Next, we can combine like terms:
15 - 6x - 6 = -6x + 9
So, the simplified expression is -6x + 9, not 9x + 9.
It seems there might have been a mistake in your calculations. Double-check your steps to see if there was an error, such as missing a negative sign or performing an operation incorrectly.