Question 763837
{{{2(x+5)-7=3(x-2)}}} Start with the given equation.



{{{2x+10-7=3x-6}}} Distribute.



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



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



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



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



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



{{{x=(-9)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{x}}}.



{{{x=9}}} Reduce.



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Answer:


So the solution is {{{x=9}}}