Problem: solve for x, 6+(x-5)/2 = (x-7)/3
need to solve for x
6 + (x - 5)/2 = (x - 7)/3
6 * (6 + (x - 5)/2) = ((x - 7)/3) * 6
36 + 3 * (x - 5) = 2 * (x - 7)
36 + 3x - 15 = 2x - 14
21 + 3x = 2x - 14
21 + 3x - 21 = 2x - 14 - 21
3x = 2x - 35
3x - 2x = 2x - 35 - 2x
x = -35
Check.
6 + (x - 5)/2 = (x - 7)/3
6 + (-35 - 5)/2 = (-35 - 7)/3
6 + (-40)/2 = (-42)/3
6 - 20 = -14
-14 = -14
Answer: x = -35