Question

If $\frac{2}{5}\left(5x\right)+2(x-1)=4(x+1)-2$, then the value of $x$ is:

• A. $x=-2$
• B. $x=2$
• C. There is no value of $x$ for which the equation is true
• D. There are infinitely many values of $x$ for which the equation is true

Answer 1

The correct option is C There is no value of $x$ for which the equation is true

Given, $\frac{2}{5}\left(5x\right)+2(x-1)=4(x+1)-2$.

On simplifying the equation, we get,
$⟹$ $2x+2x-2=4x+4-2$ ...[By Distribution Law]

$⟹$ $4x-2=4x+2$ ...[Cancelling $4x$ on both sides]

$⟹$ $-2\ne 2$.

Therefore, there is no value of $x$ for which the equation is true.

Hence, option $C$ is correct.