Question 122886
If we translate the sentence "Twice the sum of a number and 5 is equal to three times the difference of the number and 6" we get the equation



{{{2(x+5)=3(x-6)}}}





{{{2(x+5)=3(x-6)}}} Start with the given equation




{{{2x+10=3x-18}}} Distribute



{{{2x=3x-18-10}}}Subtract 10 from both sides



{{{2x-3x=-18-10}}} Subtract 3x from both sides



{{{-x=-18-10}}} Combine like terms on the left side



{{{-x=-28}}} Combine like terms on the right side



{{{x=(-28)/(-1)}}} Divide both sides by -1 to isolate x




{{{x=28}}} Divide


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Answer:

So our answer is {{{x=28}}} 




So our number is 28