Answer
x=2
Work Step by Step
$3(2x-6)+6=0$ $\longrightarrow$ apply distributive property
$6x-18+6=0$ $\longrightarrow$ simplify
$6x-12=0$ $\longrightarrow$ add 12 to both sides
$6x-12+12=0+12$ $\longrightarrow$ simplify
$6x=12$ $\longrightarrow$ divide both sides by 6
$6x\div6=12\div6$ $\longrightarrow$ simplify
$x=2$
