Final answer:
To solve the given proportion (2/3)x + 2 = (-4/5)x - 1/5, we must combine like terms and solve for x, which results in x = -1.5, indicating that none of the given options is correct.
Step-by-step explanation:
To solve the proportion (2/3)x + 2 = (-4/5)x - 1/5, the first step is to get all the terms with an x on one side and the constant terms on the other side. Doing so, we have:
(2/3)x + (4/5)x = - 1/5 - 2
Find a common denominator and combine the terms with x. You can multiply each term by 15 (the lowest common multiple of 3 and 5) to get rid of the fractions:
10x + 12x = -3 - 30
22x = -33
Divide each side by 22 to solve for x:
x = -33/22
x = -1.5
So, none of the options A, B, C, or D is correct as they do not match the solution of x = -1.5.