Question
Simplify: $86 - [15x - 7(6x - 9) - 2{10x - 5(2 - 3x)}]$
✓
Answer
Removing the innermost grouping symbol $( )$ first, then $\{ \}$ and then $[ ],$
we have: $86 - [15x - 7 (6x - 9) - 2{10x - 5(2 - 3x)}] $
$= 86 - [15x - 42x + 63 - 2{10x - 10 + 15x} $
$= 86 - [15x - 42x + 63 - 2{25x - 10}] $
$= 86 - [15x - 42x + 63 - 50x + 20] $
$= 86 - 15x + 42x - 63 + 50x - 20 $
$= (86 - 63 - 20) - 15x + 42x + 50x $
$= (86 - 83) + (-15 + 42 + 50)x $
$= 3 + 77x$
we have: $86 - [15x - 7 (6x - 9) - 2{10x - 5(2 - 3x)}] $
$= 86 - [15x - 42x + 63 - 2{10x - 10 + 15x} $
$= 86 - [15x - 42x + 63 - 2{25x - 10}] $
$= 86 - [15x - 42x + 63 - 50x + 20] $
$= 86 - 15x + 42x - 63 + 50x - 20 $
$= (86 - 63 - 20) - 15x + 42x + 50x $
$= (86 - 83) + (-15 + 42 + 50)x $
$= 3 + 77x$
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