X-3(x-4)=-2(x-8)-4 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
x-3*(x-4) = -2*(x-8)-4
Expand brackets in the left part
x-3*x+3*4 = -2*(x-8)-4
Expand brackets in the right part
x-3*x+3*4 = -2*x+2*8-4
Looking for similar summands in the left part:
12 - 2*x = -2*x+2*8-4
Looking for similar summands in the right part:
12 - 2*x = 12 - 2*x
Move free summands (without x)
from left part to right part, we given:
$$- 2 x = - 2 x$$
Move the summands with the unknown x
from the right part to the left part:
$$0 = 0$$
This equation is the identity and the solution: any x
This equation is the identity - the solution of the equation is any x
This equation is the identity - the solution of the equation is any x