To solve for \( x \) in each of the given equations, you would perform the following operations on both sides:
-
Equation: \( x + 15 = -23 \)
Operation: Subtract both sides
Solution: \( x = -23 - 15 \)
Result: \( x = -38 \) -
Equation: \( \frac{x}{15} = 7 \)
Operation: Multiply both sides
Solution: \( x = 7 \times 15 \)
Result: \( x = 105 \) -
Equation: \( -5x = 40 \)
Operation: Divide both sides
Solution: \( x = \frac{40}{-5} \)
Result: \( x = -8 \) -
Equation: \( x - 23 = 49 \)
Operation: Add both sides
Solution: \( x = 49 + 23 \)
Result: \( x = 72 \)
In summary, the operations needed for each equation are:
- Subtract both sides
- Multiply both sides
- Divide both sides
- Add both sides