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

Question

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

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    0
    2021-09-10T06:24:09+00:00

    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.

    0
    2021-09-10T06:24:31+00:00

    g(x)=2(x-4)\\\\g(x)=20\to2(x-4)=20\qquad\text{divide both sides by 2}\\\\x-4=10\qquad\text{add 4 to both sides}\\\\\boxed{x=14}

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