Answer: The required value of x in the given equation is 2.
Step-by-step explanation: We are given to find the value of x in the following equation :
[tex]2.5(6x-4)=10+4(1.5+0.5x)~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the value of x, we need to solve the given equation (i).
The solution of equation (i) is as follows :
[tex]2.5(6x-4)=10+4(1.5+0.5x)\\\\\Rightarrow 15x-10=10+6+2x\\\\\Rightarrow 15x-10=16+2x\\\\\Rightarrow 15x-2x=16+10\\\\\Rightarrow 13x=26\\\\\Rightarrow x=\dfrac{26}{13}\\\\\Rightarrow x=2.[/tex]
Thus, the required value of x in the given equation is 2.
