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x\in \mathrm{R}
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2\left(3x+1\right)\leq 3\left(2x+2\right)
Multiply both sides of the equation by 6, the least common multiple of 3,2. Since 6 is positive, the inequality direction remains the same.
6x+2\leq 3\left(2x+2\right)
Use the distributive property to multiply 2 by 3x+1.
6x+2\leq 6x+6
Use the distributive property to multiply 3 by 2x+2.
6x+2-6x\leq 6
Subtract 6x from both sides.
2\leq 6
Combine 6x and -6x to get 0.
x\in \mathrm{R}
This is true for any x.
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