Respuesta :
Alright, so we start off my subtracting 4a from both sides, separating the x and getting 10-4a=2x. Next, we divide both sides by 2, getting that 5-2a=X
Answer: The correct option is
(D) [tex]x=5-2a.[/tex]
Step-by-step explanation: We are given to select the equivalent equation for the following equation :
[tex]2x+4a=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the equivalent equation, we need to take x on one side and other terms on the other side of the equation.
From equation (i), we have
[tex]2x+4a=10\\\\\Rightarrow 2(x+2a)=10\\\\\Rightarrow x+2a=5\\\\\Rightarrow x=5-2a.[/tex]
Thus, the required equivalent equation is [tex]x=5-2a.[/tex]
Option (D) is CORRECT.