Question 640636
{{{3(x-2)-2(x+7)=2x+17}}} Start with the given equation.



{{{3x-6-2x-14=2x+17}}} Distribute.



{{{x-20=2x+17}}} Combine like terms on the left side.



{{{x=2x+17+20}}} Add {{{20}}} to both sides.



{{{x-2x=17+20}}} Subtract {{{2x}}} from both sides.



{{{-x=17+20}}} Combine like terms on the left side.



{{{-x=37}}} Combine like terms on the right side.



{{{x=(37)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{x}}}.



{{{x=-37}}} Reduce.



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Answer:


So the solution is {{{x=-37}}}