Answer:
x = -40
Step-by-step explanation:
Rewrite "(x - 4)/4" in a different way:
⇒ 8 + x/2 = (x - 4)/4 - 1
⇒ 8 + x/2 = x/4 - 4/4 - 1
Simplify the R.H.S:
⇒ 8 + x/2 = x/4 - 1 - 1
⇒ 8 + x/2 = x/4 - 2
Add 2 both sides and subtract x/2 both sides:
⇒ 8 + x/2 = x/4 - 2
⇒ 8 + 2 = x/4 - x/2
⇒ 10 = x/4 - 2x/4
Simplify the R.H.S:
⇒ 10 = x/4 - 2x/4
⇒ 10 = -x/4
Use cross multiplication:
⇒ 10 × 4 = -x
⇒ -(40) = x = -40
