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2\left(2+x\right)-12=1-2x
Multiply both sides of the equation by 6, the least common multiple of 3,6.
4+2x-12=1-2x
Use the distributive property to multiply 2 by 2+x.
-8+2x=1-2x
Subtract 12 from 4 to get -8.
-8+2x+2x=1
Add 2x to both sides.
-8+4x=1
Combine 2x and 2x to get 4x.
4x=1+8
Add 8 to both sides.
4x=9
Add 1 and 8 to get 9.
x=\frac{9}{4}
Divide both sides by 4.