Which expression is equivalent to - 1/5(10x + 15) - 2? Responses A -2x – 1 -2 x – 1 B -2x – 4-2 x – 4 C -2x – 3-2 x – 3 D -2x – 5
To find the equivalent expression, we need to distribute the -1/5 to the terms inside the parentheses:
- 1/5(10x + 15) - 2
= (-1/5)(10x) + (-1/5)(15) - 2
= -2x - 3 - 2
So the equivalent expression is D: -2x - 5.
To find the equivalent expression, follow these steps:
Step 1: Distribute -1/5 to the terms inside the parentheses:
-1/5(10x + 15) = -1/5 * 10x + -1/5 * 15
Simplifying further:
= -2x - 3
Step 2: Subtract 2 from the simplified expression obtained in step 1:
-2x - 3 - 2
This simplifies to:
= -2x - 5
Therefore, the equivalent expression is D) -2x - 5.
To find the expression that is equivalent to -1/5(10x + 15) - 2, we will simplify the given expression step by step.
First, let's distribute the -1/5 to the terms inside the parentheses:
-1/5(10x + 15) = -1/5 * 10x - 1/5 * 15
= -2x - 3
Now, we have: -2x - 3 - 2
Combine like terms: -2x - 5
Therefore, the equivalent expression is D) -2x - 5.