Answer:
x=12
Step-by-step explanation:
16x-30-(14x-6)=2x-24=0. add 24 on both sides to get 2x=24. divide by 2 on both sides to get x=12
The rule for g(x) is: 
Step-by-step explanation:
Given function is:

When a function f(x) is shifted right or left, b units the new function is written as:

Shifting right

Shifting left

Similarly, when shifting up or down

As our given function is shifted 3 units to the right, it will be written as:

The function is when moved down 3 units, then

Hence
The rule for g(x) is: 
Keywords: Function transformation, Functions
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The answer to the question