Question

Which equation is equivalent to 2x+4a=10 A. X= 5/4a B.5+2a C. X=10-4a D. X=5-2a

Answer 1

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 2

Answer: The correct option is

(D)
`x=5-2a.`

Step-by-step explanation: We are given to select the equivalent equation for the following equation :

`2x+4a=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

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

`2x+4a=10\\\\\Rightarrow 2(x+2a)=10\\\\\Rightarrow x+2a=5\\\\\Rightarrow x=5-2a.`

Thus, the required equivalent equation is
`x=5-2a.`

Option (D) is CORRECT.