#### Answer

This equation has no solution

#### Work Step by Step

$5-12x=8-7x-[6\div3(2+5^{3})+5x]$
Simplify the expression inside parentheses on the right side:
$5-12x=8-7x-[6\div3(2+125)+5x]$
$5-12x=8-7x-[6\div3(127)+5x]$
Evaluate the division inside the brackets on the right side:
$5-12x=8-7x-[2(127)+5x]$
Simplify the expression inside brackets on the right side:
$5-12x=8-7x-[254+5x]$
Simplify the right side completely:
$5-12x=8-7x-254-5x$
$5-12x=-12x-246$
The term $-12x$ is repeated on both sides. Cancel it:
$5\ne-246$ False
This equation has no solution