# How do you simplify 2-3[x-2-5(x-1)]?

Mar 26, 2018

$- 7 + 12 x$

#### Explanation:

I'm gonna break this into chunks and work form the inside outward:

$\textcolor{g r e e n}{2 +} \textcolor{\mathmr{and} a n \ge}{- 3 \left(x - 2 + \textcolor{b l u e}{- 5 \left(x - 1\right)}\right)}$

Let's deal with color(blue)( -5(x-1) first and simplify this:

$\textcolor{b l u e}{5 x + 5}$

$\textcolor{g r e e n}{2 +} \textcolor{\mathmr{and} a n \ge}{- 3 \left(x - 2 + \textcolor{b l u e}{- 5 x + 5}\right)}$

$\textcolor{g r e e n}{2 +} \textcolor{\mathmr{and} a n \ge}{- 3 \left(x - 2 - 5 x + 5\right)}$

Now we can work on color(orange)( -3( x - 2 - 5x + 5 )

color(orange)(-3x + 6 + 15x - 15

simplify

color(orange)(-9 + 12x

Now we've got color(green)( 2 + ) color(orange)(-9 - 18x

color(green)( 2 + -9 + 12x

color(green)(-7 + 12x