What is the solution of the equation 4/3x = x-6/5 ?(1 point) $$

1 answer

To solve the equation, we can multiply both sides by the least common multiple of the denominators, which is 15.

First, let's clear the denominators:

(15)(4/3x) = (15)(x-6/5)
20x = 15x - 18

Next, let's isolate the variable term:

20x - 15x = -18
5x = -18

Finally, let's solve for x by dividing both sides by 5:

5x/5 = -18/5
x = -18/5

Therefore, the solution to the equation 4/3x = x-6/5 is x = -18/5.