Question

Solve the equation. 6 = 2(x + 8) - 5x
A. 2/3
B. 3 1/3
C. - 2/3
D. -3 1/3

Answer 1

`6 = 2(x + 8) - 5x \\ \\ 6 = 2x + 16 - 5x \\ \\ 6 = -3x + 16 \\ \\ 6 - 16 = -3x \\ \\ -10 -3x \\ \\ (-10)/(-3) = x \\ \\ (10)/(3) = x \\ \\ x = (10)/(3) \\ \\ Answer: \fbox {x = 10/3} \ or \ \fbox {x = 3 1/3}`

Answer 2

6 = 2(x+8) - 5x
⇒ 2x+ 2*8 -5x= 6
⇒ (2x -5x)+ 16= 6
⇒ -3x = 6 -16
⇒ -3x = -10
⇒ x= -10/(-3)
⇒ x= 10/3
⇒ x= 3 1/3

The correct answer is B. 3 1/3~