Solving Equations by Adding or Subtracting the Same Number from Both Sides

To solve the equation $x + 3 = 5$, we will follow these steps:

• Subtract 3 from both sides of the equation to isolate $x$.
• On the left, $x + 3 - 3 = x$ remains.
• On the right, $5 - 3 = 2$.
• This gives us the equation: $x = 2$.

Therefore, the solution to the equation is $x = 2$.

To solve the equation $3 - x = 1$, we will isolate the variable $x$.

• Step 1: Subtract 3 from both sides of the equation.
  $3 - x - 3 = 1 - 3$

• Step 2: Simplify the expression.
  $-x = -2$

• Step 3: Multiply both sides by $-1$ to solve for $x$.
  $x = 2$

Thus, the solution to the equation is $x = 2$.

To solve the equation $x + 5 = 8$, follow these steps:

• Step 1: Start with the original equation:
  $x + 5 = 8$.
• Step 2: Subtract 5 from both sides of the equation to isolate $x$:
  $x + 5 - 5 = 8 - 5$.
• Step 3: Simplify both sides:
  $x = 3$.

Therefore, the solution to the equation is $x = 3$.

The correct answer choice is: :

3

To solve this problem, we will follow these steps:

• Step 1: Identify the given equation $3 + x = 4$.
• Step 2: Use subtraction to isolate the variable $x$.

Now, let's work through these steps:
Step 1: We have the equation: $3 + x = 4$.
Step 2: Subtract 3 from both sides of the equation to isolate $x$:

$3 + x - 3 = 4 - 3$

This simplifies to:

$x = 1$

Therefore, the solution to the equation is $x = 1$.

To solve the equation $5 - x = 4$, we aim to isolate $x$ on one side of the equation.

We start by considering the equation:
$5 - x = 4$

Step 1: Eliminate 5 from the left side to isolate terms involving $x$. To do this, subtract 5 from both sides of the equation:

$(5 - x) - 5 = 4 - 5$

Step 2: Simplify both sides:

$-x = -1$

Step 3: To solve for $x$, multiply or divide both sides by $-1$ to change the sign of $x$:

$-1 \cdot -x = -1 \cdot -1$

This simplifies to:

$x = 1$

Therefore, the solution to the equation $5 - x = 4$ is $x = 1$.

The correct answer is $x = 1$.