# How do you simplify  4+x+(-10)-11x?

May 30, 2016

$- 10 x - 6$

#### Explanation:

$4 + x + \left(- 10\right) - 11 x$
$\implies$ Remove parentheses

Rule: $\left(- a\right) = - a$

$= 4 + x - 10 - 11 x$

Why + changes to -?
$+$ changes to $-$ because of $-$ infront on $10$, because of $- 10$

Rule:
+ and - $\implies$ -
+ and + $\implies$ +
- and - $\implies$ +

Now group like terms $\implies$ -11x+x+4-10

Add similar elements $\implies$ $- 11 x + x = - 10 x$
$= 10 x + 4 - 10$

Finally subtract numbers $4 - 10 = - 6$
$= - 10 x - 6$