Multiply both sides by \(3\).
\[x-2=0.6x-6\]
Subtract \(0.6x\) from both sides.
\[x-2-0.6x=-6\]
Simplify \(x-2-0.6x\) to \(0.4x-2\).
\[0.4x-2=-6\]
Add \(2\) to both sides.
\[0.4x=-6+2\]
Simplify \(-6+2\) to \(-4\).
\[0.4x=-4\]
Divide both sides by \(0.4\).
\[x=-\frac{4}{0.4}\]
Simplify \(\frac{4}{0.4}\) to \(10\).
\[x=-10\]
x=-10
