What is-are the correct steps to solve the following equation- 2 x-7-12-3 xA- 2 x-3 x-12-7B- 2 x-3 x-12-7C- -2 x-3 x-12-7D- -2 x -3 x -7-12

The correct options are A 2x+3x=12 7 D 2x 3x=7 12The given equation is nbsp;2x+7=12 3x. On transposing 3x from RHS to LHS and transposing 7 from LHS to RHS ...

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Standard VII

Mathematics

Transposing Method

What is/are t...

Question

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

2 x + 3 x = 12 - 7

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2 x - 3 x = 12 + 7

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- 2 x + 3 x = - 12 - 7

No worries! We‘ve got your back. Try BYJU‘S free classes today!

- 2 x - 3 x = 7 - 12

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

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Solution

The correct options are
A $2 x + 3 x = 12 - 7$
D $- 2 x - 3 x = 7 - 12$
The given equation is $2 x + 7 = 12 - 3 x$ .

On transposing $3 x$ from RHS to LHS and transposing 7 from LHS to RHS we get
$2 x + 3 x = 12 - 7$ .

Also, transposing $2 x$ from LHS to RHS and transposing 12 from RHS to LHS we get
$7 - 12 = - 2 x - 3 x$ .
Now interchanging the LHS and RHS we have
$- 2 x - 3 x = 7 - 12$ .

$∴$ Any of the above two steps can be used as the first step to solve the given equation.

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Similar questions

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\frac{2 x}{3} - \frac{3 x}{8} = \frac{7}{12}

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(iv)

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

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