3(4x+6)-15=3(x-5) equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
3*(4*x+6)-15 = 3*(x-5)
Expand brackets in the left part
3*4*x+3*6-15 = 3*(x-5)
Expand brackets in the right part
3*4*x+3*6-15 = 3*x-3*5
Looking for similar summands in the left part:
3 + 12*x = 3*x-3*5
Move free summands (without x)
from left part to right part, we given:
$$12 x = 3 x - 18$$
Move the summands with the unknown x
from the right part to the left part:
$$9 x = -18$$
Divide both parts of the equation by 9
x = -18 / (9)
We get the answer: x = -2
Sum and product of roots
[src]
$$-2$$
$$-2$$
$$-2$$
$$-2$$