[tex]\text{Solve the absolute value, remember, there are two answers/outcomes}\\\\\text{First outcome:}\\\\2x - 5 = 4\\\\\text{Solve:}\\\\2x - 5 = 4\\\\\text{Add 5 to both sides}\\\\2x=9\\\\\text{Divide by 2}\\\\\boxed{x=\frac{9}{2}}\\\\\text{Second outcome:}\\\\2x - 5 = -4\\\\\text{Add 5 to both sides}\\\\2x=1\\\\\text{Divide by 2}\\\\\boxed{x=\frac{1}{2}}[/tex]
