Answer
$x=0$
Work Step by Step
The solution to the given expression, $
6(x-10)=3[4(x-5)]
$, is
\begin{array}{l}\require{cancel}
6(x)+6(-10)=3[4(x)+4(-5)]
\\\\
6x-60=3[4x-20]
\\\\
6x-60=3[4x]+3[-20]
\\\\
6x-60=12x-60
\\\\
6x-12x=-60+60
\\\\
-6x=0
\\\\
x=\dfrac{0}{-6}
\\\\
x=0
.\end{array}