# How do you solve x+ (-11) = 5?

Nov 27, 2016

$x = 16$

#### Explanation:

equation given
solve $x + \left(- 11\right) = 5$

concept application
subtracting a negative number $a - \left(- b\right) = a + b$ because it is like adding a product of $- 1$ and $- b$, which is positive $b$ $\setminus \Rightarrow a + \left(- 1\right) \left(- b\right) = a + b$

calculation
add $\left(- 11\right)$ to both sides $\setminus \Rightarrow x \setminus \cancel{+ \left(- 11\right)} \setminus \cancel{\setminus \textcolor{red}{- \left(- 11\right)}} = 5 \setminus \textcolor{red}{- \left(- 11\right)}$
now you have $x = 5 - \left(- 11\right)$
subtracting negative number $\setminus \Rightarrow x = 5 \setminus \textcolor{f u c h s i a}{+} 11 = 16$