Simplify.
3−(4x−5)+6 (1 point)
Responses
−4x+14
4x+4
12x+21
−4x+4
−4x+14
To simplify the expression 3−(4x−5)+6, follow these steps:
1. Distribute the subtraction sign to both terms inside the parentheses:
3 - 4x + 5 + 6
2. Combine like terms:
(3 + 5 + 6) - 4x
3. Simplify the addition inside the parentheses:
14 - 4x
Therefore, the simplified expression is -4x + 14.
To simplify the expression 3−(4x−5)+6, we can follow the order of operations to simplify it step by step.
Step 1: Simplify the expression inside the parentheses.
Inside the parentheses, we have 4x−5. To simplify it, we distribute the negative sign to both terms inside:
-(4x) + (-5) = -4x + (-5)
Step 2: Combine like terms.
Now we can simplify the expression by combining like terms, which means adding or subtracting the numbers with the same variables.
Combine the 3 and the 6:
3 + 6 = 9
Combine the -4x and the -5:
-4x + (-5) = -4x - 5
Step 3: Combine the remaining terms.
Now we combine the 9 with the simplified expression -4x - 5:
9 + (-4x - 5) = -4x - 5 + 9
Step 4: Simplify further if possible.
Finally, we add -4x and 9:
-4x - 5 + 9 = -4x + 4
So, the simplified expression is -4x + 4.