↣ First we solve the Inequality.
[tex]4-3(2-x)<10+x[/tex]
[tex]4-6+3x<10+x[/tex] ↣ Distribute -3 in (2-x) for easier in solving.
[tex]3x-2<10+x\\3x-x<10+2\\2x<12\\x<6[/tex]
Thus, the answer is x < 6.
↣ Therefore, the greatest possible Integer value of x is 5.
