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4x+2\leq 3
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
4x\leq 3-2
Subtract 2 from both sides.
4x\leq 1
Subtract 2 from 3 to get 1.
x\leq \frac{1}{4}
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.