Solve the equation `x-3=5` and check the result.

Options

A. 5
B. 2
C. 3
D. 8

Answer

To solve the equation \( x - 3 = 5 \) and check the result, follow these steps:

### Step 1: Write down the equation
The given equation is:
\[ x - 3 = 5 \]

### Step 2: Isolate the variable \( x \)
To isolate \( x \), we need to move the constant term (-3) from the left side to the right side of the equation. We can do this by adding 3 to both sides:
\[ x - 3 + 3 = 5 + 3 \]
This simplifies to:
\[ x = 8 \]

### Step 3: State the solution
The solution to the equation is:
\[ x = 8 \]

### Step 4: Check the result
To verify our solution, we substitute \( x = 8 \) back into the original equation:
\[ LHS = x - 3 = 8 - 3 = 5 \]
Now, we compare this with the right-hand side (RHS) of the original equation:
\[ RHS = 5 \]
Since \( LHS = RHS \), we have:
\[ 5 = 5 \]
This confirms that our solution is correct.

### Final Answer
The solution to the equation \( x - 3 = 5 \) is:
\[ x = 8 \]