<PRE><B>Question 248457</B>


{{{2(x+7)=5(x-7)}}} Start with the given equation.



{{{2x+14=5x-35}}} Distribute.



{{{2x=5x-35-14}}} Subtract {{{14}}} from both sides.



{{{2x-5x=-35-14}}} Subtract {{{5x}}} from both sides.



{{{-3x=-35-14}}} Combine like terms on the left side.



{{{-3x=-49}}} Combine like terms on the right side.



{{{x=(-49)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{x}}}.



{{{x=49/3}}} Reduce.



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Answer:


So the solution is {{{x=49/3}}} which approximates to {{{x=16.333}}}. 
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