Simplify 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 3 - (4x - 5) + 6, we can follow the following steps:
Step 1: Simplify the expression within the innermost parentheses.
Within the parentheses, we have 4x - 5. Since there is no operation between 4x and -5, we can rewrite it as 4x + (-5).
Step 2: Apply the distributive property to remove the parentheses.
We distribute the positive sign (+) and the negative sign (-) to each term within the parentheses, which gives us 4x + (-5). This can be simplified further as 4x -5.
Step 3: Combine like terms.
Now, we can combine the like terms in the expression. We have 3, -5, and 6.
3 - 5 + 6 simplifies to 4.
Step 4: Add the simplified terms.
Finally, the expression becomes 4x - 5 + 4, which can be further simplified as 4x - 1.
Therefore, the correct simplified form of the expression 3 - (4x - 5) + 6 is 4x - 1. None of the provided options match this result.
To simplify the expression 3 - (4x - 5) + 6, you can start by distributing the negative sign to the terms inside the parentheses.
3 - (4x - 5) + 6 can be rewritten as 3 - 4x + 5 + 6.
Next, you can combine like terms by adding or subtracting them.
Combining the constants (3, 5, and 6), you get 14.
Therefore, the simplified form of the expression is 14 - 4x.
The correct answer is not provided in the options. The expression simplifies to -4x + 14.
Simplifying the expression, we distribute the negative sign:
3 - (4x - 5) + 6 = 3 - 4x + 5 + 6.
Combining like terms, we have:
3 - 4x + 5 + 6 = 14 - 4x.
Therefore, the simplified expression is:
14 - 4x.
The correct answer is E.