Answer: The required solution is x = -13.
Step-by-step explanation: We are given to solve the following linear equation in variable x :
[tex]4(x-0.8)=3.8x-5.8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Solving equation (i) means finding the value of the unknown variable x.
The solution of equation (i) is as follows :
[tex]4(x-0.8)=3.8x-5.8\\\\\Rightarrow 4x-3.2=3.8x-5.8\\\\\Rightarrow 4x-3.8x=3.2-5.8\\\\\Rightarrow 0.2x=-2.6\\\\\Rightarrow x=-\dfrac{2.6}{0.2}\\\\\Rightarrow x=-13.[/tex]
Thus, the required solution is x = -13.
