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6+x\left(-2\right)=4x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
6+x\left(-2\right)-4x=0
Subtract 4x from both sides.
6-6x=0
Combine x\left(-2\right) and -4x to get -6x.
-6x=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-6}{-6}
Divide both sides by -6.
x=1
Divide -6 by -6 to get 1.