#### Answer

$-13$

#### Work Step by Step

Distribute $-2$ to obtain:
$1-12+2x=3x+2
\\-11+2x=3x+2$
Subtract $2x$ on both sides of the equation to obtain:
$-11=x+2$
Subtract $2$ on both sides of the equation to obtain:
$-13 = x$
Check:
$1-2(6-(-13))=3(-13)+2
\\1-2(6+13)=-39+2
\\1-2(19)=-37
\\1-38=-37
\\-37=-37$