Solution:
Given that,
f(x) = - 2x + 2
g(x) = 4x + 8
Solve the equation f(x) = g(x)
-2x + 2 = 4x + 8
Combine the like terms
Keep the variable "x" terms in one side and move constants to other side
4x + 2x = 2 - 8
6x = -6
Divide both sides by 6
x = -1
Thus solution to f(x) = g(x) is x = -1