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x+1-2\left(x-2\right)=12
Multiply both sides of the equation by 6, the least common multiple of 6,3.
x+1-2x+4=12
Use the distributive property to multiply -2 by x-2.
-x+1+4=12
Combine x and -2x to get -x.
-x+5=12
Add 1 and 4 to get 5.
-x=12-5
Subtract 5 from both sides.
-x=7
Subtract 5 from 12 to get 7.
x=-7
Multiply both sides by -1.