Two times the difference of one-third of a number and thre
Choose a variable for the unknown number. For example, let's choose x to represent the unknown number.
How do you write one-third of a number (when the number is x)?
\(\sf {Two ~times ~the ~difference ~of ~one-third ~of ~\color{red}{a ~number} ~and ~three.}\) \(~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\color{red}{x}\)
\(\sf {Two ~times ~the ~difference ~of ~\color{green}{one-third ~of ~}\color{red}{a ~number} ~and ~three.}\) \(~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\color{green}{\dfrac{1}{3}~~~~~ \times} ~~\color{red}{x}\)
\(\sf {Two ~times ~\color{brown}{the ~difference ~of} ~\color{green}{one-third ~of ~}\color{red}{a ~number} \color{brown}{~and ~three.}}\) \(~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\color{green}{\dfrac{1}{3}~~~~~ \times} ~~\color{red}{x} ~~~~~~~~~~~~\color{brown}{- 3}\)
\(\sf {\color{blue}{Two ~times} ~\color{brown}{the ~difference ~of} ~\color{green}{one-third ~of ~}\color{red}{a ~number} \color{brown}{~and ~three.}}\) \(~~~~~~\color{blue}{2 \times~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~( }~\color{green}{\dfrac{1}{3}~~~~~ \times} ~~\color{red}{x} ~~~~~~~~~~~~\color{brown}{- 3} \color{blue}{)} \) \(2\left( \dfrac{1}{3}x - 3 \right)\)
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