Answer: The required value of x is given by
[tex]x=-7.[/tex]
Step-by-step explanation: We are given to solve the following equation for the value of x:
[tex]\dfrac{3}{5}x+5=\dfrac{4}{5}~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
In order to solve the above equation, we need to take 5 to the right-hand side of the equation and then solve for x.
The solution of equation (i) is as follows:
[tex]\dfrac{3}{5}x+5=\dfrac{4}{5}\\\\\\\Rightarrow \dfrac{3}{5}x=\dfrac{4}{5}-5\\\\\\\Rightarrow \dfrac{3}{5}x=\dfrac{4-25}{5}\\\\\\\Rightarrow \dfrac{3}{5}x=-\dfrac{21}{5}\\\\\\\Rightarrow x=-\dfrac{21\times 5}{5\times 3}\\\\\\\Rightarrow x=-\dfrac{21}{3}\\\\\\\Rightarrow x=-7.[/tex]
Thus, the required value of x is given by
[tex]x=-7.[/tex]
