Question

10) 9x - 4-3(x - 4) = 4 (x - 1)​

Answer 1

Answer:

9x - 4-3(x - 4) = 4 (x - 1)

9x - 4 - 3x + 2 = 4x - 4

6x -2 = 4x - 4

6x - 4x = 2 - 4

2x = - 2

x = - 2

2

x = -1

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Answer 2

Answer :-

• x = -6.

Step-by-step explanation :-

$\sf Q) \: 9x - 4 - 3 \: (x - 4) = 4 \: (x - 1)$

Removing the brackets,

$\sf\Rightarrow9x - 4 - 3x + 12 = 4x - 4$

Putting the constants and variables separately,

$\sf\Rightarrow9x - 3x- 4 + 12 = 4x - 4$

On simplifying,

$\sf\Rightarrow6x + 8 = 4x - 4$

Transposing 4x from RHS to LHS, changing its sign,

$\sf\Rightarrow6x - 4x + 8 = - 4$

On simplifying,

$\sf\Rightarrow2x + 8 = - 4$

Transposing 8 from LHS to RHS, changing its sign,

$\sf\Rightarrow2x = - 4 - 8$

On simplifying,

$\sf\Rightarrow2x = -12$

Transposing 2 from LHS to RHS, changing its sign,

$\sf\Rightarrow x = \dfrac{-12}{2}$

Dividing -12 by 2,

$\sf\Rightarrow x = -6$

Verification :-

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

LHS

$\sf\Rightarrow9x - 4 - 3 (x - 4)$

$\sf\Rightarrow9 \times (-6) - 4 - 3 \: (-6 - 4)$

Applying the BODMAS rule and removing the brackets first,

$\sf\Rightarrow9 \times (-6) - 4 + 18 + 12$

Multiplying 9 with -6,

$\sf\Rightarrow-54 - 4 + 18 + 12$

Subtracting the numbers,

$\sf\Rightarrow -28$

RHS

$\sf\Rightarrow4 \: (-6 - 1)$

Removing the brackets,

$\sf\Rightarrow-24 - 4$

Subtracting the numbers,

$\sf\Rightarrow-28$

Since LHS = RHS,

Hence verified!