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3x+3\geq 5x-3
Use the distributive property to multiply 3 by x+1.
3x+3-5x\geq -3
Subtract 5x from both sides.
-2x+3\geq -3
Combine 3x and -5x to get -2x.
-2x\geq -3-3
Subtract 3 from both sides.
-2x\geq -6
Subtract 3 from -3 to get -6.
x\leq \frac{-6}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x\leq 3
Divide -6 by -2 to get 3.