Answer:
x = 6
Explanation:
Step 1: Distribute 2/3 to (3x - 6):
(2/3 * 3x) + (2/3 * -6) = 8
6/3x - 12/3 = 8
2x - 4 = 8
- Note that you could've divided both sides by 2/3, which forces us to multiply both sides by 3/2 since we multiply by the reciprocal when dividing by fractions.
- Although the problem is arranged in such a way where the distributive property is more convenient than dividing by 2/3, solving the problem is more important than the particular method.
Step 2: Add 4 to both sides:
(2x - 4 = 8) + 4
2x = 12
Step 3: Divide both sides by 2 to solve for x:
(2x = 12) / 2
x = 6
Thus, x = 6.