Problem Description:
The image provides an example of solving an equation involving decimals using the addition operation. The equation given is:
\[
3.2 + x = 7
\]
The task is to solve for \( x \) by isolating it on one side of the equation.
---
Solution Explanation:
#### Step 1: Understand the Equation
The equation is:
\[
3.2 + x = 7
\]
Here, \( x \) is the variable we need to solve for. The goal is to isolate \( x \) on one side of the equation.
#### Step 2: Identify the Operation and Its Inverse
The equation involves addition (\( 3.2 + x \)). To isolate \( x \), we need to use the inverse operation of addition, which is
subtraction.
#### Step 3: Apply the Inverse Operation
To eliminate \( 3.2 \) from the left side of the equation, we subtract \( 3.2 \) from both sides of the equation. This ensures that the equation remains balanced.
\[
3.2 + x - 3.2 = 7 - 3.2
\]
#### Step 4: Simplify Both Sides
- On the left side: \( 3.2 - 3.2 = 0 \), so the equation becomes:
\[
x = 7 - 3.2
\]
- On the right side: Perform the subtraction \( 7 - 3.2 \):
\[
7 - 3.2 = 3.8
\]
So, the equation simplifies to:
\[
x = 3.8
\]
#### Step 5: Verify the Solution
To verify, substitute \( x = 3.8 \) back into the original equation:
\[
3.2 + 3.8 = 7
\]
This is true, confirming that our solution is correct.
---
Final Answer:
\[
\boxed{3.8}
\]
Parent Tip: Review the logic above to help your child master the concept of solving equations with decimals worksheet.
