First, simplify the expression:

[tex]5x + 1 - 15x - 2 < 122[/tex]

[tex]-10x - 1 < 122[/tex]

Next, add 1 to both sides:

[tex]-10x < 123[/tex]

Finally, divide by -10 to solve for x:

[tex]x > -12.3[/tex]

Therefore, the solution to the inequality is [tex]x > -12.3[/tex]