## College Algebra (6th Edition)

$x=-2$
$4x+13-\{2x-[4(x-3)-5]\}=2(x-6)$ Simplify the expression inside brackets on the left side and the product on the right side: $4x+13-\{2x-[4x-12-5]\}=2x-12$ $4x+13-\{2x-[4x-17]\}=2x-12$ Simplify the expression inside braces on the left side: $4x+13-\{2x-4x+17\}=2x-12$ $4x+13-\{-2x+17\}=2x-12$ Simplify the left side: $4x+13+2x-17=2x-12$ $6x-4=2x-12$ Take $2x$ to the left side and $4$ to the right side. Then, simplify: $6x-2x=-12+4$ $4x=-8$ Take $4$ to divide the right side: $x=-\dfrac{8}{4}$ $x=-2$