Solve for x:
17-2 x = 7 x+11
Subtract 7 x from both sides:
17+(-2 x-7 x) = (7 x-7 x)+11
-2 x-7 x = -9 x:
-9 x+17 = (7 x-7 x)+11
7 x-7 x = 0:
17-9 x = 11
Subtract 17 from both sides:
(17-17)-9 x = 11-17
17-17 = 0:
-9 x = 11-17
11-17 = -6:
-9 x = -6
Divide both sides of -9 x = -6 by -9:
(-9 x)/(-9) = (-6)/(-9)
(-9)/(-9) = 1:
x = (-6)/(-9)
The gcd of -6 and -9 is -3, so (-6)/(-9) = (-3×2)/(-3×3) = (-3)/(-3)×2/3 = 2/3:
Answer: |x = 2/3
