Question
Simplify: $-x + [5y - {x - (5y - 2x)}]$
✓
Answer
We have: Removing the innermost grouping symbol $( )$ first, then $\{ \}$ and then $[ ],$
we have: $-x + [5y - {x - (5y - 2x)}] $
$= -x + [5y - {x - 5y + 2x}] $
$= -x + [5y - {3x - 5y}] $
$= -x + [5y - 3x + 5y] $
$= -x + [10y - 3x] $
$= -x + 10y - 3x $
$= -x - 3x + 10y $
$= -4x + 10y$
we have: $-x + [5y - {x - (5y - 2x)}] $
$= -x + [5y - {x - 5y + 2x}] $
$= -x + [5y - {3x - 5y}] $
$= -x + [5y - 3x + 5y] $
$= -x + [10y - 3x] $
$= -x + 10y - 3x $
$= -x - 3x + 10y $
$= -4x + 10y$
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