If g(x) = 2(x − 4), find the value of x if g(x) = 20.

Here you're given a numerical value for g(x) and an algebraic formula for g(x) also.  Equate the two:  g(x) = 2(x - 4) = g(x) = 20.  

Solve this for x:

Divide both sides by 2.  We get:  x - 4 = 10.

Add 4 to both sides, to isolate x:  x = 14.

The value of x is 14.

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