Question

If 12(x -7) = -11 then x =?

Answer 1

`\large\boxed{\bf\:x = (73)/(12) = 6(1)/(12) \approx 6.083}`

Explanation:

`12(x - 7) = -11`

Multiply 12 by x & 7 (distributive property) in the left hand side of the equation .

`12(x-7)=-11\\(12*x)-(12*7)=-11\\12x - 84 =-11`

Bring -84 to the right hand side of the equation. Then,

`12x = -11 + 84\\12x = 73\\x=(73)/(12) \\\\\boxed{\bf\:x = (73)/(12) = 6(1)/(12) \approx 6.083}`

`\rule{150pt}{2pt}`

Answer 2

x = 73/12

Explanation:

Given:

`\displaystyle \large{12(x-7)=-11}`

Distribute 12 in x-7:

`\displaystyle \large{12x-84=-11}`

Add both sides by 84:

`\displaystyle \large{12x-84+84=-11+84}\\\displaystyle \large{12x=73}`

Divide both sides by 12:

`\displaystyle \large{(12x)/(12)=(73)/(12)}\\\displaystyle \large{x=(73)/(12)}`

Therefore, the solution is x = 73/12