Given that the function FX satisfies 3f (x) - 2F (1-x) = 2x + 3, find the analytic formula

Given that the function FX satisfies 3f (x) - 2F (1-x) = 2x + 3, find the analytic formula

Because 3f (x) - 2F (1-x) = 2x + 3
So 3f (1-x) - 2F (x) = 2 (1-x) + 3 = - 2x + 5
①*3+②*2
We get 5F (x) = 6x + 9-4X + 10 = 2x + 19
So f (x) = 2x / 5 + 19 / 5