Answer: The required value of x for which the given equation is true is 5.
Step-by-step explanation: We are given to find the value of x for which the following equation is true :
\(\dfrac{1}{2}(4x-5)+\dfrac{5}{2}=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)
To find the value of x, we need to solve the given equation.
The solution of equation (i) is as follows :
\(\dfrac{1}{2}(4x-5)+\dfrac{5}{2}=10\\\\\\\Rightarrow \dfrac{4x-5+5}{2}=10\\\\\\\Rightarrow \dfrac{4x}{2}=10\\\\\\\Rightarrow 2x=10\\\\\\\Rightarrow x=\dfrac{10}{2}\\\\\Rightarrow x=5.\)
Thus, the required value of x for which the given equation is true is 5.
