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3\times 6=2\left(x+6\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
18=2\left(x+6\right)
Multiply 3 and 6 to get 18.
18=2x+12
Use the distributive property to multiply 2 by x+6.
2x+12=18
Swap sides so that all variable terms are on the left hand side.
2x=18-12
Subtract 12 from both sides.
2x=6
Subtract 12 from 18 to get 6.
x=\frac{6}{2}
Divide both sides by 2.
x=3
Divide 6 by 2 to get 3.