Solve for x
x=-\frac{1}{2}=-0.5
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3-2\times 2=5+6x\times 2
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6x, the least common multiple of 2x,3x,6x.
3-4=5+6x\times 2
Multiply -2 and 2 to get -4.
-1=5+6x\times 2
Subtract 4 from 3 to get -1.
-1=5+12x
Multiply 6 and 2 to get 12.
5+12x=-1
Swap sides so that all variable terms are on the left hand side.
12x=-1-5
Subtract 5 from both sides.
12x=-6
Subtract 5 from -1 to get -6.
x=\frac{-6}{12}
Divide both sides by 12.
x=-\frac{1}{2}
Reduce the fraction \frac{-6}{12} to lowest terms by extracting and canceling out 6.
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