Solve for x
x\geq 0
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3\left(x+2\right)\geq 2\left(x+3\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+6\geq 2\left(x+3\right)
Use the distributive property to multiply 3 by x+2.
3x+6\geq 2x+6
Use the distributive property to multiply 2 by x+3.
3x+6-2x\geq 6
Subtract 2x from both sides.
x+6\geq 6
Combine 3x and -2x to get x.
x\geq 6-6
Subtract 6 from both sides.
x\geq 0
Subtract 6 from 6 to get 0.
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