Solve for x
x=2
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x+2+4-x=-6\left(x-3\right)
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by x-3, the least common multiple of x-3,3-x.
x+6-x=-6\left(x-3\right)
Add 2 and 4 to get 6.
6=-6\left(x-3\right)
Combine x and -x to get 0.
6=-6x+18
Use the distributive property to multiply -6 by x-3.
-6x+18=6
Swap sides so that all variable terms are on the left hand side.
-6x=6-18
Subtract 18 from both sides.
-6x=-12
Subtract 18 from 6 to get -12.
x=\frac{-12}{-6}
Divide both sides by -6.
x=2
Divide -12 by -6 to get 2.
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