2x − [3y − {2x − (y − x)}] = ?
(a) 5x − 4y
(b) 4y − 5x
(c) 5y − 4x
(d) 4x − 5y

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Solution

(a) 5x − 4y

2x − [3y − {2x − (y − x)}]
= 2x − [3y − {2x − y + x}]
= 2x − [3y − {3x − y}]
= 2x − [3y − 3x + y]
= 2x − [4y − 3x]
= 2x − 4y + 3x
= 5x − 4y

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