Step 1 :Step 1: Rewrite the absolute value equation as a piecewise function. So, we have \(2x - 5 = 3\) and \(2x - 5 = -3\).
Step 2 :Step 2: Solve the equations separately. For \(2x - 5 = 3\), we add 5 to both sides to get \(2x = 8\), then divide by 2 to get \(x = 4\). For \(2x - 5 = -3\), we add 5 to both sides to get \(2x = 2\), then divide by 2 to get \(x = 1\).