Answer
$x=2$
Work Step by Step
$-6(x-3)=x+4$ $\longrightarrow$distributive property
$-6x+18=x+4$ $\longrightarrow$addition property
$-6x+18-18-x=x+4-18-x$ $\longrightarrow$combine like terms
$-7x=-14$ $\longrightarrow$multiplication property
$-7x\div-7=-14\div-7$ $\longrightarrow$divide
$x=2$