Question

Q.41 Solve 6x - 5 = 4x + 7.​

Answer 1

Answer:

6x-4x = 7+5

2x = 12

x = 6 may it help you

Answer 2

Answer :-

• The value of x is 6.

Solution :-

$\longmapsto\sf6x - 5 = 4x + 7$

Putting the constant and variable terms on different sides by the method of transposition,

$\longmapsto\sf6x - 4x = 7 + 5$

On simplifying,

$\longmapsto\sf2x = 12$

Transposing 2 from LHS to RHS, changing it's sign,

$\longmapsto\sf x = \dfrac{12}{ \: 2}$

Dividing 12 by 2,

$\longmapsto\sf x = 6$

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V E R I F I C A T I O N

To check our answer, let's put 6 in the place of x and see whether LHS = RHS.

LHS

$\hookrightarrow\rm6x - 5$

Substituting the value of x,

$\hookrightarrow\rm6 \times 6 - 5$

Applying the BODMAS rule and multiplying 6 with 6 first,

$\hookrightarrow\rm36 - 5$

Subtracting 5 from 36,

$\hookrightarrow\rm31$

RHS

$\hookrightarrow\rm4x + 7$

Substituting the value of x,

$\hookrightarrow\rm4 \times 6 + 7$

Applying the BODMAS rule and multiplying 4 with 6 first,

$\hookrightarrow\rm24 + 7$

Adding 7 to 24,

$\hookrightarrow\rm31$

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LHS = RHS.

Hence verified!