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4x+3=x
Multiply both sides of the equation by 12, the least common multiple of 3,4,12.
4x+3-x=0
Subtract x from both sides.
3x+3=0
Combine 4x and -x to get 3x.
3x=-3
Subtract 3 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-3}{3}
Divide both sides by 3.
x=-1
Divide -3 by 3 to get -1.