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