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Question

# What is/are the correct step(s) to solve the following equation? 2x+7=12âˆ’3x

A
2x+3x=127
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B
2x3x=12+7
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C
2x+3x=127
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D
2x3x=712
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Solution

## The correct options are A 2x+3x=12−7 D −2x−3x=7−12The given equation is 2x+7=12−3x. On transposing 3x from RHS to LHS and transposing 7 from LHS to RHS we get 2x+3x=12−7. Also, transposing 2x from LHS to RHS and transposing 12 from RHS to LHS we get 7−12=−2x−3x. Now interchanging the LHS and RHS we have −2x−3x=7−12. ∴Any of the above two steps can be used as the first step to solve the given equation.

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