Simplify 3 - (4x - 5) + 6.
lify 3 - (4x - 5) + 6.
Responses
A 12x + 2112x + 21
B 4x + 144x + 14
C 4x + 44x + 4
D -4x + 14-4x + 14
E -4x + 4
To simplify the expression, you can first simplify the parentheses:
3 - (4x - 5) + 6
= 3 - 4x + 5 + 6
Next, you can combine like terms:
= (3 + 5 + 6) - 4x
= 14 - 4x
Therefore, the simplified expression is 14 - 4x.
The correct answer is E.
To simplify the expression 3 - (4x - 5) + 6, you can start by distributing the negative sign to the terms inside the parentheses.
So, -1 * (4x - 5) is equal to -4x + 5.
Now, you can rewrite the expression as 3 - 4x + 5 + 6.
Next, you can combine like terms.
So, 3 + 5 + 6 is equal to 14.
Therefore, the simplified expression is -4x + 14.
Therefore, the answer is option D: -4x + 14.
To simplify the expression 3 - (4x - 5) + 6, we'll follow the order of operations (also known as PEMDAS or BODMAS):
1. Simplify the expression inside the parentheses: -(4x - 5) becomes -4x + 5.
2. Distribute the negative sign (-) to each term inside the parentheses: -1 * 4x + (-1) * (-5)
Now the expression becomes: 3 - 4x + 5 + 6.
3. Combine like terms: Combine the constants (3 + 5 + 6) and combine the terms with 'x' (-4x).
The simplified expression is: -4x + 14.
So, the correct answer is E) -4x + 14.