Question

which equation represents the weights shown on the hanger? x + 2 = 8 how can you get x by itself and keep the hanger balanced? subtract 8 ones from both sides. subtract 2 ones from both sides. subtract x from the left side. subtract 2 ones from the left side and 8 ones from the right side.

Explanation:

Step1: Verify the hanger equation

Left side weight: $x + 1 + 1 = x + 2$
Right side weight: $1+1+1+1+1+1+1+1 = 8$
Balanced equation: $x + 2 = 8$

Step2: Isolate $x$ via balance rule

To isolate $x$, remove equal weights from both sides. Subtract 2 ones (total weight 2) from each side.

Answer:

1. The correct equation is $\boldsymbol{x + 2 = 8}$
2. The correct method is: Subtract 2 ones from both sides.