Question

6x+2(X-7)= 42 *Step-by-step explanation:

Answer 1

Answer :-

• The value of x is 7.

Step-by-step explanation :-

$\sf Q) \: 6x + 2 \: (x - 7) = 42$

Removing the brackets,

$\sf \Rightarrow6x + 2x - 14 = 42$

On simplifying,

$\sf \Rightarrow8x - 14 = 42$

Transposing 14 from LHS to RHS, changing it's sign,

$\sf \Rightarrow8x = 42 + 14$

Adding the numbers,

$\sf \Rightarrow8x = 56$

Transposing 8 from LHS to RHS, changing it's sign,

$\sf \Rightarrow x = \dfrac{56}{8}$

Dividing 56 by 8,

$\sf \Rightarrow x = 7.$

Therefore, the value of x = 7.

Verification :-

To check our answer, let's put 7 in place of x and see whether LHS = RHS.

Lets proceed!

We get :-

LHS

$\sf\Rightarrow6 \times 7 + 2 \: (7 - 7)$

Removing the brackets,

$\sf 6 \times 7 + 14 - 14$

On simplifying,

$\sf\Rightarrow42 + 0$

Adding 0 to 42,

$\sf\Rightarrow42.$

RHS

$\sf\Rightarrow42.$

Since LHS = RHS,

Hence verified!