Solve the Absolute Value Equation: Find x in |x - 3| = 4

To solve the equation $|x - 3| = 4$, follow these steps:

• Step 1: Understand that $|x - 3| = 4$ means $x - 3$ can be either 4 or -4.
• Step 2: Set up two separate equations:
• Equation 1: $x - 3 = 4$
• Equation 2: $x - 3 = -4$
• Step 3: Solve each equation for $x$.

Let's solve Equation 1:
$x - 3 = 4$
Add 3 to both sides:
$x = 4 + 3$
$x = 7$

Now, solve Equation 2:
$x - 3 = -4$
Add 3 to both sides:
$x = -4 + 3$
$x = -1$

Therefore, the solutions to the equation $|x - 3| = 4$ are $x = 7$ and $x = -1$.

Checking the given choices, the correct answer is:
$x = -1$, $x = 7$, which matches choice 1.