Answer
$x=9$
Work Step by Step
$10x=6(2x-3)\rightarrow$ apply the distributive property
$10x=12x-18\rightarrow$ subtract 12x from each side
$10x-12x=12x-18-12x\rightarrow$ combine like terms
$-2x=-18\rightarrow$ divide both sides by -2
$-2x\div-2=-18\div-2\rightarrow$ simplify
$x=9$