Answer:
x = -2
Explanation:
Picture attached, shows a weighing scale in the balanced form,
So weight of elements on the left = Weight of the elements on the right
Left side of the scale = weight of x + weight of 1
= x(2) + 1(6)
= 2x + 6
On the right side of the scale = Weight of (-x) + weight of (-1)
= (-x)(2) + (-1)(2)
= -2x - 2
Since, both the sides are balanced,
Therefore, equation which models the situation is,
(2x + 6) = -(2x + 2)
(2x + 6) + (2x + 2) = 0
4x + 8 = 0
4x = -8
x = -2