In order to find which Equation does no result in a Solution of X = 2, We need to solve all the Equations one by one and check the result obtained.
✿ Option (A)
Given : 3(X + 4) = 16X - 14
⇒ 3X + 12 = 16X - 14
⇒ 16X - 3X = 14 + 12
⇒ 13X = 26
⇒ X = 2
This Equation has a Solution : X = 2. So, This is not the Equation we are looking for. .
✿ Option (B)
Given : 5X - 11 = 6X - X - 11
⇒ 5X - 11 = 5X - 11
The Equations are Both the Same. So, it has Infinitely Many Solutions which Includes the Solution of X = 2. Hence, This is not the Equation we are looking for.
✿ Option (C)
Given : 4X + 9 = 2(2X + 9)
⇒ 4X + 9 = 4X + 18
⇒ 4X - 4X = 18 - 9
⇒ 0 = 9
This Equation has No Solution.
Hence, This Equation has No Solution of X = 2
✿ Option (D)
Given : 12 + 7 = -(-2X - 3) + 16X
⇒ 19 = 2X + 3 + 16X
⇒ 18X = 19 - 3
⇒ 18X = 16
[tex]\mathsf{\implies X = \frac{16}{18}}[/tex]
This Equation has No Solution of X = 2
✿ Option (E)
[tex]\mathsf{Given : \frac{1}{2}(X) = 4}\\\\\mathsf{\implies X = (4 \times 2) = 8}[/tex]
This Equation has No Solution of X = 2
Hence : The Equations which has No Solution of X = 2 are C - D - E
