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3\left(x-4\right)-2\left(x-2\right)\leq 5
Multiply both sides of the equation by 18, the least common multiple of 6,9,18. Since 18 is positive, the inequality direction remains the same.
3x-12-2\left(x-2\right)\leq 5
Use the distributive property to multiply 3 by x-4.
3x-12-2x+4\leq 5
Use the distributive property to multiply -2 by x-2.
x-12+4\leq 5
Combine 3x and -2x to get x.
x-8\leq 5
Add -12 and 4 to get -8.
x\leq 5+8
Add 8 to both sides.
x\leq 13
Add 5 and 8 to get 13.