Answer
$x=-1$
Work Step by Step
$9(3x-4)+63=0$ $\longrightarrow$distributive property
$27x-36+63=0$ $\longrightarrow$combine like terms
$27x+27=0$ $\longrightarrow$addition property
$27x+27-27=0-27$ $\longrightarrow$combine like terms
$27x=-27$ $\longrightarrow$multiplication property
$27x\div27=-27\div27$ $\longrightarrow$divide
$x=-1$