Multiply both sides by \(4\).
\[x+2\le 12x-20\]
Subtract \(x\) from both sides.
\[2\le 12x-20-x\]
Simplify \(12x-20-x\) to \(11x-20\).
\[2\le 11x-20\]
Add \(20\) to both sides.
\[2+20\le 11x\]
Simplify \(2+20\) to \(22\).
\[22\le 11x\]
Divide both sides by \(11\).
\[\frac{22}{11}\le x\]
Simplify \(\frac{22}{11}\) to \(2\).
\[2\le x\]
Switch sides.
\[x\ge 2\]
x>=2
