Question

Solve the following equation for $x$:
$6+8(8-2x)=14-8(4x-2)$.

• A. $\frac{5}{2}$
• B. $-\frac{5}{2}$
• C. $\frac{1}{2}$
• D. $\frac{3}{2}$

Answer 1

The correct option is B $-\frac{5}{2}$

Given, $6+8(8-2x)=14-8(4x-2)$
$\Rightarrow 6+64-16x=14-32x+16$ ...[By Distribution Law]
$\Rightarrow 70-16x=30-32x$.

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

$\Rightarrow 32x-16x=30-70$

$\Rightarrow 16x=-40$.

Therefore. $x=-\frac{40}{16}=-\frac{5}{2}$.

Hence, option $B$ is correct.