#### Answer

$x=6$

#### Work Step by Step

If you have trouble following the steps below, please review the order of operations (PEMDAS) or the distributive property. Note that, because we are told that $y=0$, the expression involving $x$ is also equal to zero.
$y=2[3x-(4x-6)]-5(x-6)=0$
$2(3x-4x+6)-5x+30=0$
$2(-x+6)-5x+30=0$
$-2x+12-5x+30=0$
$-7x+42=0$
$7x=42$
$x=6$