#### Answer

$x=-15$

#### Work Step by Step

$4(x-11)+|90|-|-86|+25=5x\rightarrow$ resolve absolute values
$4(x-11)+90-86+25=5x\rightarrow$ apply distributive property
$4x-44+90-86+25=5x\rightarrow$ simplify
$4x-15=5x\rightarrow$ subtract 4x from each side
$4x-15-4x=5x-4x\rightarrow$ simplify
$-15=x$