## anonymous one year ago Two times the difference of one-third of a number and thre

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1. mathstudent55

Choose a variable for the unknown number. For example, let's choose x to represent the unknown number.

2. mathstudent55

How do you write one-third of a number (when the number is x)?

3. mathstudent55

$$\sf {Two ~times ~the ~difference ~of ~one-third ~of ~\color{red}{a ~number} ~and ~three.}$$ $$~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\color{red}{x}$$

4. mathstudent55

$$\sf {Two ~times ~the ~difference ~of ~\color{green}{one-third ~of ~}\color{red}{a ~number} ~and ~three.}$$ $$~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\color{green}{\dfrac{1}{3}~~~~~ \times} ~~\color{red}{x}$$

5. mathstudent55

$$\sf {Two ~times ~\color{brown}{the ~difference ~of} ~\color{green}{one-third ~of ~}\color{red}{a ~number} \color{brown}{~and ~three.}}$$ $$~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\color{green}{\dfrac{1}{3}~~~~~ \times} ~~\color{red}{x} ~~~~~~~~~~~~\color{brown}{- 3}$$

6. mathstudent55

$$\sf {\color{blue}{Two ~times} ~\color{brown}{the ~difference ~of} ~\color{green}{one-third ~of ~}\color{red}{a ~number} \color{brown}{~and ~three.}}$$ $$~~~~~~\color{blue}{2 \times~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~( }~\color{green}{\dfrac{1}{3}~~~~~ \times} ~~\color{red}{x} ~~~~~~~~~~~~\color{brown}{- 3} \color{blue}{)}$$ $$2\left( \dfrac{1}{3}x - 3 \right)$$