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2\left(x+2\right)=7\times 6
Multiply both sides of the equation by 14, the least common multiple of 7,2.
2x+4=7\times 6
Use the distributive property to multiply 2 by x+2.
2x+4=42
Multiply 7 and 6 to get 42.
2x=42-4
Subtract 4 from both sides.
2x=38
Subtract 4 from 42 to get 38.
x=\frac{38}{2}
Divide both sides by 2.
x=19
Divide 38 by 2 to get 19.