Solve for m:
2 m - 5 - 3 = 10 - m
Subtract like terms. -3 - 5 = -8:
2 m - 8 = 10 - m
Add m to both sides:
2 m + m - 8 = (m - m) + 10
m - m = 0:
2 m + m - 8 = 10
2 m + m = 3 m:
3 m - 8 = 10
Add 8 to both sides:
3 m + (8 - 8) = 8 + 10
8 - 8 = 0:
3 m = 10 + 8
10 + 8 = 18:
3 m = 18
Divide both sides of 3 m = 18 by 3:
(3 m)/3 = 18/3
3/3 = 1:
m = 18/3
The gcd of 18 and 3 is 3, so 18/3 = (3×6)/(3×1) = 3/3×6 = 6:
Answer: m = 6
