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Answer :

f(x)= 2 (x-4) +12

f(x) = 16

16 = 2 (x-4)+12

Apply distributive property:

16 = 2(x)+2(-4)+12

16 = 2x-8+12

Combine like terms:

16 = 2x -8 +12

16 = 2x +4

subtract 4 from both sides of the equation:

16-4 = 2x+4-4

12 = 2x

Divide both sides by 2:

12/2 = 2x/2

6 = x

X=6