Select the operation that should be done to both sides of the equation to solve for the value of x.(4 points)

Question

add both sides subtract both sides multiply both sides divide both sides
x + 15 = -23

x15
= 7

-5x = 40

x - 23 = 49

Answer 1

To solve each given equation for \( x \), you need to perform specific operations. Here’s a solution for each equation:

1. For \( x + 15 = -23 \):

   • Operation: Subtract both sides \[ x + 15 - 15 = -23 - 15 \quad \Rightarrow \quad x = -38 \]

2. For \( \frac{x}{15} = 7 \):

   • Operation: Multiply both sides \[ 15 \times \frac{x}{15} = 15 \times 7 \quad \Rightarrow \quad x = 105 \]

3. For \( -5x = 40 \):

   • Operation: Divide both sides \[ x = \frac{40}{-5} \quad \Rightarrow \quad x = -8 \]

4. For \( x - 23 = 49 \):

   • Operation: Add both sides \[ x - 23 + 23 = 49 + 23 \quad \Rightarrow \quad x = 72 \]

Summary of Operations:

1. subtract both sides
2. multiply both sides
3. divide both sides
4. add both sides