Question 658303
{{{2(a-8)+7a=5(a+2)}}} Start with the given equation.



{{{2a-16+7a=5a+10}}} Distribute.



{{{9a-16=5a+10}}} Combine like terms on the left side.



{{{9a=5a+10+16}}} Add {{{16}}} to both sides.



{{{9a-5a=10+16}}} Subtract {{{5a}}} from both sides.



{{{4a=10+16}}} Combine like terms on the left side.



{{{4a=26}}} Combine like terms on the right side.



{{{a=(26)/(4)}}} Divide both sides by {{{4}}} to isolate {{{a}}}.



{{{a=13/2}}} Reduce.



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Answer:


So the solution is {{{a=13/2}}}