Given the linear equation:
5-2*(x-7) = 5*x-(2*x-4)
Expand brackets in the left part
5-2*x+2*7 = 5*x-(2*x-4)
Expand brackets in the right part
5-2*x+2*7 = 5*x-2*x+4
Looking for similar summands in the left part:
19 - 2*x = 5*x-2*x+4
Looking for similar summands in the right part:
19 - 2*x = 4 + 3*x
Move free summands (without x)
from left part to right part, we given:
$$- 2 x = 3 x - 15$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-5\right) x = -15$$
Divide both parts of the equation by -5
x = -15 / (-5)
We get the answer: x = 3