Question 219699


{{{(5/6)x+2/3=-(1/6)x-5/3}}} Start with the given equation.



{{{6((5/cross(6))x+2/cross(3))=6(-(1/cross(6))x-5/cross(3))}}} Multiply both sides by the LCD {{{6}}} to clear any fractions.



{{{5x+4=-1x-10}}} Distribute and multiply.



{{{5x=-x-10-4}}} Subtract {{{4}}} from both sides.



{{{5x+x=-10-4}}} Add {{{x}}} to both sides.



{{{6x=-10-4}}} Combine like terms on the left side.



{{{6x=-14}}} Combine like terms on the right side.



{{{x=(-14)/(6)}}} Divide both sides by {{{6}}} to isolate {{{x}}}.



{{{x=-7/3}}} Reduce.



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Answer:


So the answer is {{{x=-7/3}}} which approximates to {{{x=-2.333}}}.