Simplify 3 - (4x - 5) + 6.
To simplify 3 - (4x - 5) + 6, we can first apply the distributive property to the expression inside the parentheses:
3 - 4x + 5 + 6
Next, we can combine like terms:
(3 + 5 + 6) - 4x
This simplifies to:
14 - 4x
To simplify 3 - (4x - 5) + 6, follow these steps:
Step 1: Distribute the negative sign to the terms inside the parentheses.
3 - (4x - 5) + 6 becomes:
3 - 4x + 5 + 6.
Step 2: Combine like terms.
Combining the numbers without variables gives:
3 + 5 + 6 = 14.
The x term remains unchanged.
Step 3: Rewrite the equation.
The simplified expression is:
-4x + 14.
To simplify the expression 3 - (4x - 5) + 6, we need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).
Step 1: Simplify the expression inside the parentheses.
In this case, we have (4x - 5). To simplify it, we can proceed with the distributive property, which means multiplying everything inside the parentheses by -1.
(4x - 5) becomes -4x + 5.
Now, the original expression 3 - (4x - 5) + 6 becomes 3 - (-4x + 5) + 6.
Step 2: Apply the operation of subtraction to the expression within the parentheses.
To simplify the expression -(-4x + 5), we will distribute the negative sign through it.
-(-4x + 5) becomes 4x - 5.
Now, the expression becomes 3 - (4x - 5) + 6 becomes 3 - (4x - 5) + 6.
Step 3: Combine like terms.
The expression 3 - (4x - 5) + 6 doesn't have any like terms, so there's no simplification needed.
The final simplified expression is 3 - (4x - 5) + 6.