Solve for x: 8 x + 17 = 2 x + 35 Subtract 2 x from both sides: (8 x - 2 x) + 17 = (2 x - 2 x) + 35 8 x - 2 x = 6 x: 6 x + 17 = (2 x - 2 x) + 35 2 x - 2 x = 0: 6 x + 17 = 35 Subtract 17 from both sides: 6 x + (17 - 17) = 35 - 17 17 - 17 = 0: 6 x = 35 - 17 35 - 17 = 18: 6 x = 18 Divide both sides of 6 x = 18 by 6: (6 x)/6 = 18/6 6/6 = 1: x = 18/6 The gcd of 18 and 6 is 6, so 18/6 = (6×3)/(6×1) = 6/6×3 = 3: Answer: x = 3
