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