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2\left(2x+7\right)=3\times 14
Multiply both sides of the equation by 12, the least common multiple of 6,4.
4x+14=3\times 14
Use the distributive property to multiply 2 by 2x+7.
4x+14=42
Multiply 3 and 14 to get 42.
4x=42-14
Subtract 14 from both sides.
4x=28
Subtract 14 from 42 to get 28.
x=\frac{28}{4}
Divide both sides by 4.
x=7
Divide 28 by 4 to get 7.