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x+6=4x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
x+6-4x=0
Subtract 4x from both sides.
-3x+6=0
Combine x and -4x to get -3x.
-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.