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6x+12+20=6\left(x-2\right)+22-x
Use the distributive property to multiply 6 by x+2.
6x+32=6\left(x-2\right)+22-x
Add 12 and 20 to get 32.
6x+32=6x-12+22-x
Use the distributive property to multiply 6 by x-2.
6x+32=6x+10-x
Add -12 and 22 to get 10.
6x+32=5x+10
Combine 6x and -x to get 5x.
6x+32-5x=10
Subtract 5x from both sides.
x+32=10
Combine 6x and -5x to get x.
x=10-32
Subtract 32 from both sides.
x=-22
Subtract 32 from 10 to get -22.