Question 186684
"half of a certain number is subtracted from 26 and the result is then tripled, and the answer is 18" translates to {{{3(26-(1/2)x)=18}}}




{{{3(26-(1/2)x)=18}}} Start with the given equation.



{{{26-(1/2)x=18/3}}} Divide both sides by 3.



{{{26-(1/2)x=6}}} Reduce



{{{-(1/2)x=6-26}}} Subtract 26 from both sides.



{{{-(1/2)x=-20}}} Combine like terms.



{{{x=-20(-2)}}} Multiply both sides by -2.



{{{x=40}}} Multiply



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Answer:


So the solution is {{{x=40}}} which means that the number is 40