Answer: The required solution is [tex]x=-\dfrac{2}{9}.[/tex]
Step-by-step explanation: We are given to solve the following linear equation :
[tex]21(2-x)+12x=44~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To solve the given equation, we need to find the value of x.
The solution of equation (i) is as follows :
[tex]21(2-x)+12x=44\\\\\Rightarrow 42-21x+12x=44\\\\\Rightarrow 42-9x=44\\\\\Rightarrow 9x=42-44\\\\\Rightarrow 9x=-2\\\\\Rightarrow x=-\dfrac{2}{9}.[/tex]
Thus, the required solution is [tex]x=-\dfrac{2}{9}.[/tex]
