Question

1. solve $\frac{x - 4}{3} = 6$.

a. multiply both sides by 3; then add 4.
b. add 4 to both sides; then multiply by 3.
c. subtract 4 from both sides; then divide by 3.
d. no steps are needed — $x = 6$.
priority standard: hsa.rei.a.1 - explain each step in solving an equation and justify the method.

Explanation:

Step1: Isolate the numerator

Multiply both sides by 3:
$$\frac{x-4}{3} \times 3 = 6 \times 3$$
$$x-4 = 18$$

Step2: Solve for $x$

Add 4 to both sides:
$$x-4 + 4 = 18 + 4$$
$$x = 22$$

Step3: Match to solution steps

The steps taken are multiply by 3 first, then add 4.

Answer:

A. Multiply both sides by 3; then add 4.