x-(2x+5)=2(3x-6) equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
x-(2*x+5) = 2*(3*x-6)
Expand brackets in the left part
x-2*x-5 = 2*(3*x-6)
Expand brackets in the right part
x-2*x-5 = 2*3*x-2*6
Looking for similar summands in the left part:
-5 - x = 2*3*x-2*6
Move free summands (without x)
from left part to right part, we given:
$$- x = 6 x - 7$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-7\right) x = -7$$
Divide both parts of the equation by -7
x = -7 / (-7)
We get the answer: x = 1
Sum and product of roots
[src]
$$1$$
$$1$$
$$1$$
$$1$$