Final answer:
The addition property of equality states that you can rearrange the order of terms without changing the result. In this equation, adding 2/3 + 2/3 results in 4/3 on the right side.
Step-by-step explanation:
As long as we perform the same operation on both sides of the equals sign, the expression remains an equality. Look at the right side of the equation; it now has the same quantity in the numerator (the top) as it has in the denominator (the bottom). Any fraction that has the same quantity in the numerator and the denominator has a value of 1:
12x - 2/3 + 2/3 = 12x - 2/3 + 2/3
By adding the fractions on the right side, the addition property of equality states that you can rearrange the order of the terms without changing the result. In this case, 2/3 + 2/3 = 4/3. Therefore, the equation simplifies to:
12x - 2/3 + 2/3 = 12x + 4/3