Question 755684
{{{3(x+2)=5-2(x-3)}}} Start with the given equation.



{{{3x+6=5-2x+6}}} Distribute.



{{{3x+6=-2x+11}}} Combine like terms on the right side.



{{{3x=-2x+11-6}}} Subtract {{{6}}} from both sides.



{{{3x+2x=11-6}}} Add {{{2x}}} to both sides.



{{{5x=11-6}}} Combine like terms on the left side.



{{{5x=5}}} Combine like terms on the right side.



{{{x=(5)/(5)}}} Divide both sides by {{{5}}} to isolate {{{x}}}.



{{{x=1}}} Reduce.



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Answer:


So the solution is {{{x=1}}}