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

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Answer 1 · 2018-03-26T14:52:58

$-7 + 12x$

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

$color(green)( 2 + ) color(orange)( -3( x - 2 + color(blue)( -5(x-1) ) ) )$

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

$color(blue)(5x + 5)$

$color(green)( 2 + ) color(orange)( -3( x - 2 + color(blue)(-5x + 5) ) )$

$color(green)( 2 + ) color(orange)( -3( x - 2 - 5x + 5 ) )$

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 $color(green)( 2 + ) color(orange)(-9 - 18x$

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

$color(green)(-7 + 12x$

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