## Thinking Mathematically (6th Edition)

Translation to algebraic expression (not simplified yet): $x - (8-x)$ Simplified form: $2x-8$
Let $x$ = the unknown number The difference between 8 and the number = $8-x$ A number decreased by the difference between 8 and the number = $x - (8-x)$ Simplifying gives: $=x-8-(-x) \\=x-8+x \\=2x-8$