Question

interactive practice: write and solve one-variable equations
use the hanger to solve an equation.
which equation is shown on the hanger?
$x = 2$ $x - 2 = 5$
$x = 1$ $x + 2 = 5$

Explanation:

Step1: Analyze left side of hanger

Left side has \( x \) and two \( 1 \)s, so total weight is \( x + 1 + 1 = x + 2 \).

Step2: Analyze right side of hanger

Right side has five \( 1 \)s, so total weight is \( 1 + 1 + 1 + 1 + 1 = 5 \).

Step3: Set up equation

Since hanger is balanced, left = right: \( x + 2 = 5 \).

Answer:

\( x + 2 = 5 \) (the option: \( x + 2 = 5 \))