Solve for x:
(2 (x-4))/5 = 1/2
Multiply both sides of (2 (x-4))/5 = 1/2 by 5/2:
((5×2 (x-4))/(2))/(5) = (5/2)/2
(5/2)/2 = 5/(2×2):
(5×2 (x-4))/(2×5) = 5/(2×2)
(5×2 (x-4))/(2×5) = (2×5)/(2×5)×(x-4) = x-4:
x-4 = 5/(2×2)
2×2 = 4:
x-4 = 5/4
Add 4 to both sides:
x+(4-4) = 5/4+4
4-4 = 0:
x = 5/4+4
Put 5/4+4 over the common denominator 4. 5/4+4 = 5/4+(4×4)/4:
x = 5/4+(4×4)/4
4×4 = 16:
x = 5/4+16/4
5/4+16/4 = (5+16)/4:
x = (5+16)/4
5+16 = 21:
Answer: | x = 21/4
