Which expression is equivalent to -1/5(10x + 15) - 2?
The expression that is equivalent to -1/5(10x + 15) - 2 is -2 - (10/5)x - (15/5) or -2 - (2x + 3).
To find the equivalent expression, we need to simplify the given expression step by step.
Step 1: Distribute the (-1/5) to each term inside the parentheses.
-1/5(10x + 15) - 2
= (-1/5)(10x) + (-1/5)(15) - 2
= -2x - 3 - 2
Step 2: Combine like terms.
-2x - 3 - 2
= -2x - 5
Therefore, the equivalent expression is -2x - 5.
To find the expression that is equivalent to -1/5(10x + 15) - 2, we can follow these steps:
Step 1: Distribute the -1/5 to the terms inside the parentheses.
-1/5(10x + 15) - 2 becomes (-1/5)(10x) + (-1/5)(15) - 2.
Step 2: Simplify each multiplication.
(-1/5)(10x) equals -10x/5 or -2x.
(-1/5)(15) equals -15/5 or -3.
So, the expression now becomes -2x - 3 - 2.
Step 3: Combine like terms.
-2x - 3 - 2 equals -2x - 5.
Therefore, the expression that is equivalent to -1/5(10x + 15) - 2 is -2x - 5.