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4\times 6=3\left(x+2\right)
Multiply both sides of the equation by 12, the least common multiple of 3,4.
24=3\left(x+2\right)
Multiply 4 and 6 to get 24.
24=3x+6
Use the distributive property to multiply 3 by x+2.
3x+6=24
Swap sides so that all variable terms are on the left hand side.
3x=24-6
Subtract 6 from both sides.
3x=18
Subtract 6 from 24 to get 18.
x=\frac{18}{3}
Divide both sides by 3.
x=6
Divide 18 by 3 to get 6.