Which of the following is equal to (2x/5-9)+9. Answers are 2x/5, 5x/2, 2x/5-45, (2 x-9)+45
To solve the expression (2x/5 - 9) + 9, we need to simplify it by combining like terms.
Let's break it down step by step:
1. Start with the expression (2x/5 - 9) + 9.
2. First, simplify the expression within the parentheses by subtracting 9 from 2x/5: (2x/5 - 9 + 9).
This simplifies to (2x/5 - 0) since -9 + 9 equals 0.
3. Now, simplify (2x/5 - 0 + 9).
Since 0 added or subtracted does not change the value, we can remove the 0 and rewrite the expression as 2x/5 + 9.
Therefore, the equivalent expression to (2x/5 - 9) + 9 is 2x/5 + 9.
Among the options provided, the correct answer is 2x/5 + 9.
To simplify the expression (2x/5 - 9) + 9, we can follow these steps:
Step 1: Distribute the addition operation to both terms inside the parentheses.
(2x/5 - 9) + 9 = 2x/5 - 9 + 9
Step 2: Simplify the second term within the parentheses.
-9 + 9 = 0
Step 3: Combine the remaining terms.
2x/5 + 0 = 2x/5
Therefore, the expression (2x/5 - 9) + 9 is equivalent to 2x/5.
if you add some spaces, it should be clear:
2x/5 - 9 + 9
OK?