Question

Solve for $a$: $-3(a+4)+5(a-2)=6$

• A. -14
• B. 8
• C. 14
• D. -8

Answer 1

The correct option is C

14

Given $-3(a+4)+5(a-2)=6$

$=-3a-12+5a-10=6$
[rearranging the terms]
$=-3a+5a-12-10=6$
$=2a-22=6$
$=2a=6+22$
$\Rightarrow 2a=28$
[dividing each term by 2]
$\Rightarrow a=\frac{28}{2}=14$