To simplify the expression 3 - (4x - 5) + 6, we can follow the order of operations (PEMDAS/BODMAS). Here's how you can solve it step by step:
Step 1: Simplify the expression inside the parentheses.
Inside the parentheses, we have 4x - 5. Since there is no operation to perform inside the parentheses, we can keep it as it is.
3 - (4x - 5) + 6
Step 2: Remove the parentheses by distributing the negative sign to the terms inside.
Distribute the negative sign to both terms inside the parentheses:
-4x + 5
Now, the expression becomes:
3 - 4x + 5 + 6
Step 3: Combine the like terms.
Combine the constant terms (3, 5, and 6) and the variable term (-4x) together:
(3 + 5 + 6) - 4x
Now, add the constants:
14 - 4x
So, the simplified expression is 14 - 4x.