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2x+6+3\left(x-2\right)=4\left(x+12\right)
Use the distributive property to multiply 2 by x+3.
2x+6+3x-6=4\left(x+12\right)
Use the distributive property to multiply 3 by x-2.
5x+6-6=4\left(x+12\right)
Combine 2x and 3x to get 5x.
5x=4\left(x+12\right)
Subtract 6 from 6 to get 0.
5x=4x+48
Use the distributive property to multiply 4 by x+12.
5x-4x=48
Subtract 4x from both sides.
x=48
Combine 5x and -4x to get x.