Question

Solve for $x$:

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

• A. $-2$
• B. $2$
• C. $1$
• D. $0$

Answer 1

The correct option is C $1$

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

$\Rightarrow x+10x-5=4x+4-2$ ...[By Distribution Law]

$\Rightarrow 11x-5=4x+2$.

Transposing $x$ terms to one side, we get,

$\Rightarrow 11x-4x=2+5$

$\Rightarrow 7x=7$

$\Rightarrow x=\frac{7}{7}=1$.

Hence, option $C$ is correct.