Question 168222


{{{x+2/3-4=-x/2}}} Start with the given equation.



{{{6(x+2/cross(3)-4)=6(-x/cross(2))}}} Multiply both sides by the LCD {{{6}}} to clear any fractions.



{{{6x+4-24=-3x}}} Distribute and multiply.



{{{6x-20=-3x}}} Combine like terms on the left side.



{{{6x=-3x+20}}} Add {{{20}}} to both sides.



{{{6x+3x=20}}} Add {{{3x}}} to both sides.



{{{9x=20}}} Combine like terms on the left side.



{{{x=(20)/(9)}}} Divide both sides by {{{9}}} to isolate {{{x}}}.



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Answer:


So the answer is {{{x=20/9}}} which approximates to {{{x=2.222}}}.