(x-4)/(x-6)=2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$\frac{x - 4}{x - 6} = 2$$
Multiply the equation sides by the denominator -6 + x
we get:
$$x - 4 = 2 x - 12$$
Move free summands (without x)
from left part to right part, we given:
$$x = 2 x - 8$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = -8$$
Divide both parts of the equation by -1
x = -8 / (-1)
We get the answer: x = 8
Sum and product of roots
[src]
$$8$$
$$8$$
$$8$$
$$8$$