The value of [tex]x[/tex] is 7.
Important information:
The given equation can be written as:
[tex]\dfrac{2}{3}(9x)-\dfrac{2}{3}(6)=4x+10[/tex]
[tex]6x-4=4x+10[/tex]
[tex]6x-4x=4+10[/tex]
[tex]2x=14[/tex]
Divide both sides by 2.
[tex]x=\frac{14}{2}[/tex]
[tex]x=7[/tex]
Therefore, the value of [tex]x[/tex] is 7.
Find out more about 'Solve the equation' here:
https://brainly.com/question/14338212