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f(x-2) = 2(x-2) -6 = 2x-4-6
f(x-2) = 2x - 10.
x-2 = a
x = a+2
f(a) = 2(a+2) - 10
f(a) = 2a - 6
..
f(x+a) - f(x) = 2(x+a) - 6 - { 2x -6}
f(x-a) - f(x) = 2x + 2a - 6 - 2x +6
f(x-a) - f(x) = 2a