Answer:
[tex]x=6[/tex]
Step-by-step explanation:
We have the equation:
[tex]-\frac{2}{3}x+9=\frac{4}{3}x-3[/tex]
First, we can remove the fractions by multiplying both sides by 3. Therefore:
[tex]3(-\frac{2}{3}x+9)=3(\frac{4}{3}x-3)[/tex]
Distribute:
[tex]-2x+27=4x-9[/tex]
Subtract 27 from both sides:
[tex]-2x=4x-36[/tex]
Subtract 4x from both sides:
[tex]-6x=-36[/tex]
Divide both sides by -6:
[tex]x=6[/tex]
Hence, the value of x is 6.
