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

Feb 13, 2017

See the entire simplification process below:

#### Explanation:

First, remove the terms from within the parenthesis. Ensure you handle to the signs of the individual terms correctly:

$- 2 \left[3 x - \left(5 x - 2\right)\right]$ becomes:

$- 2 \left[3 x - 5 x + 2\right]$

Next, combine like terms within the brackets:

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

$- 2 \left[- 2 x + 2\right]$

Now, multiply each term within the brackets by $- 2$ to complete the simplification:

$\left(- 2 \times - 2 x\right) + \left(- 2 \times 2\right]$

$4 x - 4$

or

$4 \left(x - 1\right)$