How do I simplify and justify the steps
to:
(4+105x)+5
Distribute the 5
9+105x
Not DISTRIBUTE BUT ADD
To simplify and justify the steps to simplify the expression (4+105x)+5, we'll follow the Order of Operations and apply basic algebraic principles.
Step 1: Start with the original expression: (4+105x)+5
Step 2: Simplify any addition or subtraction within parentheses. In this case, we have (4+105x). You can combine 4 and 105x by adding them together:
4 + 105x = 105x + 4
Step 3: Combine any like terms. In the expression 105x + 4, there are no like terms since 105x has a variable term and 4 is a constant.
So, the simplified expression is: 105x + 4 + 5
Step 4: Simplify any remaining addition or subtraction. In this case, we have 105x + 4 + 5. You can combine 4 and 5 by adding them together:
105x + 4 + 5 = 105x + 9
Therefore, the simplified expression for (4+105x)+5 is 105x + 9.
To justify these steps, it's important to understand the Order of Operations, which states that calculations should be performed in a specific order: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). By applying these rules and combining like terms, we simplify the expression and ensure that the result is accurate.