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5x+3-2x\leq 1
Subtract 2x from both sides.
3x+3\leq 1
Combine 5x and -2x to get 3x.
3x\leq 1-3
Subtract 3 from both sides.
3x\leq -2
Subtract 3 from 1 to get -2.
x\leq -\frac{2}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.