Question 897939
"The difference of 5 times a number and 9 equals the number increased by two" translates to the algebraic equation {{{5x-9=x+2}}}



Let's solve for x



{{{5x-9=x+2}}} Start with the given equation.



{{{5x=x+2+9}}} Add {{{9}}} to both sides.



{{{5x-x=2+9}}} Subtract {{{x}}} from both sides.



{{{4x=2+9}}} Combine like terms on the left side.



{{{4x=11}}} Combine like terms on the right side.



{{{x=(11)/(4)}}} Divide both sides by {{{4}}} to isolate {{{x}}}.



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Answer:


So the solution is {{{x=11/4}}} 



The unknown number is {{{11/4}}} which is {{{2.75}}} in decimal form.