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3\left(x+1\right)\leq 2\left(x+0\times 5\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3. Since 6 is positive, the inequality direction remains the same.
3x+3\leq 2\left(x+0\times 5\right)
Use the distributive property to multiply 3 by x+1.
3x+3\leq 2\left(x+0\right)
Multiply 0 and 5 to get 0.
3x+3\leq 2x
Anything plus zero gives itself.
3x+3-2x\leq 0
Subtract 2x from both sides.
x+3\leq 0
Combine 3x and -2x to get x.
x\leq -3
Subtract 3 from both sides. Anything subtracted from zero gives its negation.