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