Answer
$x=3$
Work Step by Step
$-4(x-11)-34=10-12$ $\longrightarrow$distributive property
$-4x+44-34=10-12$ $\longrightarrow$combine like terms
$-4x+10=-2$ $\longrightarrow$addition property
$-4x+10-10=-2-10$ $\longrightarrow$combine like terms
$-4x=-12$ $\longrightarrow$mulltiplication property
$-4x\div-4=-12\div-4$ $\longrightarrow$divide
$x=3$