Let's solve the equation step by step and verify the solution shown in the image.
Given Equation:
$$
-12 + x = -3 \cdot 11
$$
---
Step 1: Simplify the right-hand side
First, compute $-3 \cdot 11$:
$$
-3 \cdot 11 = -33
$$
So the equation becomes:
$$
-12 + x = -33
$$
---
Step 2: Solve for $x$
To isolate $x$, add 12 to both sides of the equation:
$$
-12 + x + 12 = -33 + 12
$$
$$
x = -21
$$
---
Final Answer:
$$
\boxed{x = -21}
$$
✔ The solution shown in the image is
correct.
---
Explanation:
- The problem involves a two-step equation with integers.
- First, simplify the multiplication on the right: $-3 \cdot 11 = -33$.
- Then, use inverse operations (addition) to isolate $x$.
- Adding 12 to both sides cancels out the $-12$ on the left and gives $x = -21$.
This matches the work shown in the image. Well done!
Parent Tip: Review the logic above to help your child master the concept of two step equations with integers worksheet.
