Piecewise function (please help)

Question

Given,

f(x) = 2x/3+x , x≤-2

k(x-2), -2<x<4

2x-6, x≥4

What value of k would make f(x) continuous on R?

Answer 1

2(-2)/3 + -2 = -4/3 + -2 = -4/3 + -6/3 = -10/3

k(-2-2) = -4k

-4k = -10/3

k = 10/12 = 5/6