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3x-6-8x\leq 2-x+5\left(3-x\right)
Use the distributive property to multiply 3 by x-2.
-5x-6\leq 2-x+5\left(3-x\right)
Combine 3x and -8x to get -5x.
-5x-6\leq 2-x+15-5x
Use the distributive property to multiply 5 by 3-x.
-5x-6\leq 17-x-5x
Add 2 and 15 to get 17.
-5x-6\leq 17-6x
Combine -x and -5x to get -6x.
-5x-6+6x\leq 17
Add 6x to both sides.
x-6\leq 17
Combine -5x and 6x to get x.
x\leq 17+6
Add 6 to both sides.
x\leq 23
Add 17 and 6 to get 23.