Question

lesson 3: balanced moves
match the equation balancing
steps with the description of
what was done in each step.

step 3:
6x = 8
x = \frac{4}{3}
add 3 to both sides a
multiply both sides by \frac{1}{6} b
divide both sides by 2 c

Explanation:

Step1: Analyze the equation transformation

We start with $6x = 8$ and end with $x = \frac{4}{3}$.

Step2: Test each operation

• Option A: Adding 3 to both sides would give $6x + 3 = 11$, which does not match the result.
• Option B: Multiply both sides by $\frac{1}{6}$:

$6x \times \frac{1}{6} = 8 \times \frac{1}{6}$ simplifies to $x = \frac{8}{6} = \frac{4}{3}$, which matches the result.

• Option C: Dividing both sides by 2 would give $3x = 4$, which does not match the final result.

Answer:

B. Multiply both sides by $\frac{1}{6}$