Question 580983
{{{3-2(x-3)=5+(x-2)}}} Start with the given equation.



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



{{{-2x+9=5+x-2}}} Combine like terms on the left side.



{{{-2x+9=x+3}}} Combine like terms on the right side.



{{{-2x=x+3-9}}} Subtract {{{9}}} from both sides.



{{{-2x-x=3-9}}} Subtract {{{x}}} from both sides.



{{{-3x=3-9}}} Combine like terms on the left side.



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



{{{x=(-6)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{x}}}.



{{{x=2}}} Reduce.



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Answer:


So the solution is {{{x=2}}}