Question 467419
"If 4 is added to a number and the sum is tripled the results 16 more than the number" means that {{{3(x+4)=x+16}}}



{{{3(x+4)=x+16}}} Start with the given equation.



{{{3x+12=x+16}}} Distribute.



{{{3x=x+16-12}}} Subtract {{{12}}} from both sides.



{{{3x-x=16-12}}} Subtract {{{x}}} from both sides.



{{{2x=16-12}}} Combine like terms on the left side.



{{{2x=4}}} Combine like terms on the right side.



{{{x=(4)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}.



{{{x=2}}} Reduce.



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Answer:


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