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3\left(2x-3\right)-5x\leq 30
Multiply both sides of the equation by 15, the least common multiple of 5,3. Since 15 is positive, the inequality direction remains the same.
6x-9-5x\leq 30
Use the distributive property to multiply 3 by 2x-3.
x-9\leq 30
Combine 6x and -5x to get x.
x\leq 30+9
Add 9 to both sides.
x\leq 39
Add 30 and 9 to get 39.