Final answer:
To solve the rational equation, we need to eliminate the fractions and find a common denominator. After rearranging and simplifying, the value of x is 4/5.
Step-by-step explanation:
To solve the rational equation 5x + 2/3 = 3x - 2/5, we need to eliminate the fractions by finding a common denominator. In this case, the common denominator is 15. We multiply every term of the equation by 15 to get rid of the fractions.
After simplifying, we get 25x + 10 = 45x - 6. Now, we can solve for x by rearranging the equation and combining like terms.
25x - 45x = -6 - 10
-20x = -16
x = (-16)/(-20) = 4/5
Learn more about Solving rational equations