Solve for x
x=-4
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2-\left(-x\times 3\right)=x-6
Variable x cannot be equal to any of the values 0,6 since division by zero is not defined. Multiply both sides of the equation by x\left(x-6\right), the least common multiple of x^{2}-6x,6-x,x.
2-\left(-3x\right)=x-6
Multiply -1 and 3 to get -3.
2+3x=x-6
The opposite of -3x is 3x.
2+3x-x=-6
Subtract x from both sides.
2+2x=-6
Combine 3x and -x to get 2x.
2x=-6-2
Subtract 2 from both sides.
2x=-8
Subtract 2 from -6 to get -8.
x=\frac{-8}{2}
Divide both sides by 2.
x=-4
Divide -8 by 2 to get -4.
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