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5x+2-6x=6-2\left(x+2\right)
Multiply both sides of the equation by 6, the least common multiple of 6,3.
-x+2=6-2\left(x+2\right)
Combine 5x and -6x to get -x.
-x+2=6-2x-4
Use the distributive property to multiply -2 by x+2.
-x+2=2-2x
Subtract 4 from 6 to get 2.
-x+2+2x=2
Add 2x to both sides.
x+2=2
Combine -x and 2x to get x.
x=2-2
Subtract 2 from both sides.
x=0
Subtract 2 from 2 to get 0.