Answer: The required solution of the given equation is \(x=\dfrac{40}{3}.\)
Step-by-step explanation: We are given to solve the following equation :
\(\dfrac{3}{2}x-4=16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)
To solve the given equation, we must find the value of the unknown variable x.
The solution of equation (i) is as follows :
\(\dfrac{3}{2}x-4=16\\\\\\\Rightarrow \dfrac{3}{2}x=16+4\\\\\\\Rightarrow \dfrac{3}{2}x=20\\\\\Rightarrow 3x=40\\\\\Rightarrow x=\dfrac{40}{3}.\)
Thus, the required solution of the given equation is \(x=\dfrac{40}{3}.\)
