Question

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

Answer 1

Answer:

x = 73/12

Step-by-step 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:

$\displaystyle \large{\dfrac{12x}{12}=\dfrac{73}{12}}\\\displaystyle \large{x=\dfrac{73}{12}}$

Therefore, the solution is x = 73/12

Answer 2

Answer:

$\large\boxed{\bf\:x = \frac{73}{12} = 6\frac{1}{12} \approx 6.083}$

Step-by-step 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,

$12x = -11 + 84\\12x = 73\\x=\frac{73}{12} \\\\\boxed{\bf\:x = \frac{73}{12} = 6\frac{1}{12} \approx 6.083}$

$\rule{150pt}{2pt}$