Hello!
First, let's write the problem.

Apply the distributive property on the left side of the equation.

Add like terms.

Let's plug that in into the original equation.

Add 4 to both sides.


Divide both sides by 5.

Our final answer would be,

You can feel free to let me know if you have any questions regarding this!
Thanks!
- TetraFish
Answer: Option C
Step-by-step explanation:
If the graph of the function
represents the transformations made to the graph of
then, by definition:
If
the graph moves vertically upwards.
If
the graph moves vertically down
In this problem we have the function
and our parent function is 
therefore it is true that
Therefore the graph of
is moves vertically upwards by a factor of 5 units.
The answer is the Option C: "The graph of g(x) is the graph of f(x) shifted up 5 units"
I got x=18
3(x-4)-2(3x+4)=4(3-x)+5x+4
3x-12-6x-8=12-4x+5x+4
3x-20=16+x
2x=36x
x=18