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.