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Given the rational equation 5x + 2/3 = 3x -
2/5, what is the value of x?

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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

User Sahil Purav
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