Answer
$x=3$
Work Step by Step
$19x-2-7x=31+6x-15$ $\longrightarrow$ simplify
$12x-2=16+6x$ $\longrightarrow$ addition property
$12x-2+2-6x=16+6x+2-6x$ $\longrightarrow$ simplify
$6x=18$ $\longrightarrow$ multiplication property
$6x\div6=18\div6$ $\longrightarrow$ simplify
$x=3$