Multiply both sides by \(12\) (the LCM of \(2, 3, 4\)).
\[72-6(x-1)-4(x-2)=3(3-x)\]
Expand.
\[72-6x+6-4x+8=9-3x\]
Simplify \(72-6x+6-4x+8\) to \(86-10x\).
\[86-10x=9-3x\]
Add \(10x\) to both sides.
\[86=9-3x+10x\]
Simplify \(9-3x+10x\) to \(9+7x\).
\[86=9+7x\]
Subtract \(9\) from both sides.
\[86-9=7x\]
Simplify \(86-9\) to \(77\).
\[77=7x\]
Divide both sides by \(7\).
\[\frac{77}{7}=x\]
Simplify \(\frac{77}{7}\) to \(11\).
\[11=x\]
Switch sides.
\[x=11\]
x=11
