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4+3x\times \frac{1}{3}=2-x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x, the least common multiple of 3x,3.
4+x=2-x
Multiply 3 and \frac{1}{3} to get 1.
4+x+x=2
Add x to both sides.
4+2x=2
Combine x and x to get 2x.
2x=2-4
Subtract 4 from both sides.
2x=-2
Subtract 4 from 2 to get -2.
x=\frac{-2}{2}
Divide both sides by 2.
x=-1
Divide -2 by 2 to get -1.