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Question

Ravi uses the following step for solving an algebraic equation

\(2x + 14 = 26\),

\(2x = 26 - 14\).

It is an example of :

This question was previously asked in
CTET 2022 Paper 2 Maths Question Paper (Jan-27-2023) (Eng-Hin-Skt)
The correct answer is

Transposition

In the given equation, Ravi starts with \(2x + 14 = 26\) and rewrites it as \(2x = 26 - 14\).

The term 14, which was being added on the left-hand side, has been moved to the right-hand side, and its sign has changed from positive to negative.

This process of shifting a term from one side of an equation to the other side while reversing its sign is called transposition.

Hence, the given step is an example of transposition.

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