[tex]\text{Hello there!}\\\\\text{Solve for x:}\\\\-8x-3<18-x\\\\\text{Add 3 to both sides}\\\\-8x<21-x\\\\\text{Add x to both sides}\\\\-7x<21\\\\\text{Divide by -7 and flip the inequality}\\\\x>-3\\\\\large\boxed{x>-3}[/tex]