Final answer:
To solve the equation -2/3x + 9 = 4/3x - 3, you can multiply every term by the least common denominator, combine like terms, isolate the variable, and solve for x.
Step-by-step explanation:
To solve the equation -2/3x+9=4/3x-3, we can start by getting rid of the fractions by multiplying every term by the least common denominator, which is 3. This gives us -2x + 27 = 4x - 9.
Then, we can combine like terms by adding 2x to both sides to get 27 = 6x - 9.
Next, we can isolate the variable by adding 9 to both sides to get 36 = 6x.
Finally, we can solve for x by dividing both sides by 6, resulting in x = 6.