Answer: The required solution is x = 960.
Step-by-step explanation: We are given to solve the following equation :
[tex]x=0.6x+384~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To solve the given equation, we must take the terms involving unknown variable x on one side.
The solution of equation (i) is as follows :
[tex]x=0.6x+384\\\\\Rightarrow x-0.6x=384\\\\\Rightarrow 0.4x=384\\\\\Rightarrow x=\dfrac{384}{0.4}\\\\\Rightarrow x=960.[/tex]
Thus, the required solution is x = 960.