Find the value f x, 7x-\left(x-12\right)=32-4x

Question

Find the value f x,

`7x-\left(x-12\right)=32-4x`

Answer 1

`x=2`

Explanation:

In order to solve for the variable
`x`, simply move all terms with the variable to one side and all constants to the other.
`7x-(x-12)=32-4x` =>
`7x-x+12=32-4x` =>
`6x+12=32-4x` =>
`10x=20` =>
`x=2`.

You can check this answer by plugging it back into the equation as a substitute for the variable.
`7(2)-(2-12)=32-4(8)` =>
`14-(-10)=32-8` =>
`24=24`, since the equation is true, this proves that x = 2 is the correct answer.

Answer 2

x = 2.

Explanation:

7x - (x - 12) = 32 - 4x Distributing the negative over the parentheses:-

7x - x + 12 = 32 - 4x Bringing like terms together:-

7x - x + 4x = 32 - 12 Simpifying:

10x = 20

x = 2.