#### Answer

$x=-6$

#### Work Step by Step

$4(x-3)=-2x-48$ $\longrightarrow$distributive property
$4x-12=-2x-48$ $\longrightarrow$addition property
$4x-12+2x+12=-2x-48+2x+12$ $\longrightarrow$combine like terms
$6x=-36$ $\longrightarrow$multiplication property
$6x\div6=-36\div6$ $\longrightarrow$simplify
$x=-6$