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12x=7\left(x+2\right)
Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by 12\left(x+2\right), the least common multiple of x+2,12.
12x=7x+14
Use the distributive property to multiply 7 by x+2.
12x-7x=14
Subtract 7x from both sides.
5x=14
Combine 12x and -7x to get 5x.
x=\frac{14}{5}
Divide both sides by 5.