Question 778151
{{{2q-3(q-5)=5(q+2)-7}}} Start with the given equation.



{{{2q-3q+15=5q+10-7}}} Distribute.



{{{-q+15=5q+10-7}}} Combine like terms on the left side.



{{{-q+15=5q+3}}} Combine like terms on the right side.



{{{-q=5q+3-15}}} Subtract {{{15}}} from both sides.



{{{-q-5q=3-15}}} Subtract {{{5q}}} from both sides.



{{{-6q=3-15}}} Combine like terms on the left side.



{{{-6q=-12}}} Combine like terms on the right side.



{{{q=(-12)/(-6)}}} Divide both sides by {{{-6}}} to isolate {{{q}}}.



{{{q=2}}} Reduce.



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Answer:


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


Since there is exactly one solution, this means that this is neither an identity nor a contradiction.