Question

Explain the steps you would take to solve the equation x + 10 = 3

Answer 1

To solve the equation \( x + 10 = 3 \), you can follow these steps:

1. **Identify the equation**: You have \( x + 10 = 3 \).

2. **Isolate the variable \( x \)**: To do this, you need to get \( x \) by itself on one side of the equation. You can achieve this by subtracting 10 from both sides.

3. **Perform the subtraction**:
\[
x + 10 - 10 = 3 - 10
\]

4. **Simplify both sides**:
\[
x = -7
\]

5. **Check your solution**: Substitute \( x = -7 \) back into the original equation to ensure it holds true.
\[
-7 + 10 = 3
\]
This simplifies to \( 3 = 3 \), which confirms that the solution is correct.

Thus, the solution to the equation \( x + 10 = 3 \) is \( x = -7 \).