Question 252600


{{{2x/3+4=x-5}}} Start with the given equation.



{{{3(2x/cross(3)+4)=3(x-5)}}} Multiply both sides by the LCD {{{3}}} to clear any fractions.



{{{2x+12=3x-15}}} Distribute and multiply.



{{{2x=3x-15-12}}} Subtract {{{12}}} from both sides.



{{{2x-3x=-15-12}}} Subtract {{{3x}}} from both sides.



{{{-x=-15-12}}} Combine like terms on the left side.



{{{-x=-27}}} Combine like terms on the right side.



{{{x=(-27)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{x}}}.



{{{x=27}}} Reduce.



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Answer:


So the solution is {{{x=27}}}