Question

-2(x+6)+(4x+1)=-7(x-1)​

Answer 1

Answer:

The value of x is 2.

Step-by-step-explanation:

We have given a linear equation in variable x.

We have to find the value of x.

The given linear equation is

- 2 ( x + 6 ) + ( 4x + 1 ) = - 7 ( x - 1 )

⇒ - 2x - 12 + 4x + 1 = - 7x + 7

⇒ - 2x + 4x - 12 + 1 = - 7x + 7

⇒ 2x - 11 = - 7x + 7

⇒ 2x + 7x = 7 + 11

⇒ 9x = 18

$\displaystyle{\implies\sf\:x\:=\:\cancel{\dfrac{18}{9}}}$

$\displaystyle{\therefore\:\underline{\boxed{\red{\sf\:x\:=\:2\:}}}}$

∴ The value of x is 2.