Respuesta :

x = 0.6x + 384        |subtract 0.6x from both sides

0.4x = 384    |divide both sides by 0.4

x = 960

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.