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2x+3-5x\leq 7
Subtract 5x from both sides.
-3x+3\leq 7
Combine 2x and -5x to get -3x.
-3x\leq 7-3
Subtract 3 from both sides.
-3x\leq 4
Subtract 3 from 7 to get 4.
x\geq -\frac{4}{3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.