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x+1=4x-2
Multiply both sides of the equation by 8, the least common multiple of 8,2,4.
x+1-4x=-2
Subtract 4x from both sides.
-3x+1=-2
Combine x and -4x to get -3x.
-3x=-2-1
Subtract 1 from both sides.
-3x=-3
Subtract 1 from -2 to get -3.
x=\frac{-3}{-3}
Divide both sides by -3.
x=1
Divide -3 by -3 to get 1.