Problem 1: The Mystery Equation
Solve for x: 3x + 7 = 22
Subtract 7 from both sides: 3x = 15
Divide both sides by 3: x = 5
Problem 2: Quadratic Quest
Solve for x: x² - 4x - 5 = 0
Factor to (x - 5)(x + 1) = 0
Solutions: x = 5 or x = -1
Problem 3: Logical Linear Puzzle
Find the value of y: 4y - 12 = 8
Add 12 to both sides: 4y = 20
Divide by 4: y = 5