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4x-3-2x\leq 6
Subtract 2x from both sides.
2x-3\leq 6
Combine 4x and -2x to get 2x.
2x\leq 6+3
Add 3 to both sides.
2x\leq 9
Add 6 and 3 to get 9.
x\leq \frac{9}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.