Step-by-step explanation:To solve the equation (5x - 1 = 2x + 11), follow these steps:1. Combine like terms involving (x): Subtract (2x) from both sides:[5x - 2x - 1 = 2x - 2x + 11][3x - 1 = 11]2. Isolate (x): Add 1 to both sides: [ 3x - 1 + 1 = 11 + 1][ 3x = 12] Divide both sides by 3: [frac{3x}{3} = \frac{12}{3}][x = 4]Solution:The solution to the equation (5x - 1 = 2x + 11) is (x = 4).