Question

which equation represents the weights shown on the hanger? options: $x = 2$, $x = 8$, $2x = 8$, $x + 2 = 8$

Explanation:

Step1: Define left side weight

The left side has one unknown weight $x$ and two weights of 1, so total weight is $x + 1 + 1 = x + 2$.

Step2: Define right side weight

The right side has 8 weights of 1, so total weight is $1 \times 8 = 8$.

Step3: Set weights equal

Since the hanger is balanced, left = right.
$x + 2 = 8$

Answer:

$x + 2 = 8$