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