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5x+5-3x\leq 4
Subtract 3x from both sides.
2x+5\leq 4
Combine 5x and -3x to get 2x.
2x\leq 4-5
Subtract 5 from both sides.
2x\leq -1
Subtract 5 from 4 to get -1.
x\leq -\frac{1}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.