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14\left(x+2\right)-3\left(3x-1\right)=21
Multiply both sides of the equation by 21, the least common multiple of 3,21.
14x+28-3\left(3x-1\right)=21
Use the distributive property to multiply 14 by x+2.
14x+28-9x+3=21
Use the distributive property to multiply -3 by 3x-1.
5x+28+3=21
Combine 14x and -9x to get 5x.
5x+31=21
Add 28 and 3 to get 31.
5x=21-31
Subtract 31 from both sides.
5x=-10
Subtract 31 from 21 to get -10.
x=\frac{-10}{5}
Divide both sides by 5.
x=-2
Divide -10 by 5 to get -2.