Answer:
x = 6
Step-by-step explanation:
We want to solve:
[tex]\frac{-2}{3} x+9=\frac{4}{3} x-3[/tex]
First, isolate the variable by moving all the terms with x to one side and all the constants to the other side:
[tex]\frac{4}{3}x +\frac{2}{3} x=9+3[/tex]
Combining the fraction on the left, we get:
[tex]\frac{6}{3} x=12[/tex]
6/3 = 2, so:
2x = 12
Dividing both sides by 2 yields:
x = 6
