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2x-3\leq -x-3
To find the opposite of x+3, find the opposite of each term.
2x-3+x\leq -3
Add x to both sides.
3x-3\leq -3
Combine 2x and x to get 3x.
3x\leq -3+3
Add 3 to both sides.
3x\leq 0
Add -3 and 3 to get 0.
x\leq 0
Product of two numbers is ≤0 if one is ≥0 and the other is ≤0. Since 3\geq 0, x must be ≤0.