Solve for x
x\leq 9
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3\left(x-1\right)\leq 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-3\leq 2\left(x+3\right)
Use the distributive property to multiply 3 by x-1.
3x-3\leq 2x+6
Use the distributive property to multiply 2 by x+3.
3x-3-2x\leq 6
Subtract 2x from both sides.
x-3\leq 6
Combine 3x and -2x to get x.
x\leq 6+3
Add 3 to both sides.
x\leq 9
Add 6 and 3 to get 9.
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