Answer: x = 5/7
Explanation:
Step 1: Simplify both sides of the equation.
1/3 (x + 1) + 2x = 2
(1/3) (x) + (1/3) (1) + 2x = 2 (Distribute)
1/3x + 1/3 + 2x = 2
(1/3x + 2x) + (1/3) = 2 (Combine Like Terms)
7/3x + 1/3 = 2
Step 2: Subtract 1/3 from both sides.
7/3x + 1/3 - 1/3 = 2 - 1/3
7/3x = 5/3
Step 3: Multiply both sides by 3/7.
(3/7) * (7/3x) = (3/7) * (5/3)
Answer: x = 5/7