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3\left(2+x\right)=x-x
Multiply both sides of the equation by 15, the least common multiple of 5,15.
6+3x=x-x
Use the distributive property to multiply 3 by 2+x.
6+3x=0
Combine x and -x to get 0.
3x=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-6}{3}
Divide both sides by 3.
x=-2
Divide -6 by 3 to get -2.