# How do you simplify  -3[(x-2) + 5(x-2)]?

Jan 31, 2017

See the entire simplification process below:

#### Explanation:

First, expand the terms within parenthesis within the brackets. Be sure to manage the signs of the individual terms correctly:

$- 3 \left[\left(x - 2\right) + 5 \left(x - 2\right)\right] \to - 3 \left[x - 2 + 5 x - 10\right]$

Next group and combine like terms within the brackets:

$- 3 \left[x - 2 + 5 x - 10\right] \to - 3 \left[x + 5 x - 2 - 10\right] \to - 3 \left[6 x - 1\right]$

Now, multiple each term within the brackets by $- 3$:

$- 3 \left[6 x - 1\right] \to \left(- 3 \times 6 x\right) + \left(- 3 \times - 1\right) \to$

$- 18 x + 3$ or $3 - 18 x$