Answer
{$-2$}
Work Step by Step
Step 1: $4[2x-(3-x)+5]=-6x-28$
Step 2: $4[2x-3+x+5]=-6x-28$
Step 3: $4[3x+2]=-6x-28$
Step 4: $12x+8=-6x-28$
Step 5: Adding $6x$ to both sides, $12x+8+6x=-6x-28+6x$
Step 6: $18x+8=-28$
Step 7: Subtracting $8$ from both sides, $18x+8-8=-28-8$
Step 8: $18x=-36$
Step 9: Dividing both sides by $18$,
$\frac{18x}{18}=\frac{-36}{18}$
Step 10: $x=-2$
Check:
Substituting the answer in the initial equation:
$4[2(-2)-(3-(-2))+5]=-6(-2)-28$
$4[-4-(3+2)+5]=12-28$
$4[-4-5+5]=-16$
$4[-4]=-16$
$-16=-16$
$0=0$
Since the answer checks, the solution set of the equation is {$-2$}.
