Question

Find the value for x in the equation below
`(2x+8)/6=1/3(x+4)`

Answer 1

x = -3, -5.

Explanation:

(2x + 8)/6 = 1/3(x + 4)

Cross multiply:

(2x + 8)(x + 4) = 6 * 1/3

(2x + 8)(x + 4) = 2

2x^2 + 16x + 32 - 2 = 0

2x^2 + 16x + 30 = 0

x^2 + 8x + 15 = 0

(x + 3)(x + 5) = 0

x = -3, -5.