Given the linear equation:
4-(7*x-5) = 9-(3+4*x)
Expand brackets in the left part
4-7*x+5 = 9-(3+4*x)
Expand brackets in the right part
4-7*x+5 = 9-3-4*x
Looking for similar summands in the left part:
9 - 7*x = 9-3-4*x
Looking for similar summands in the right part:
9 - 7*x = 6 - 4*x
Move free summands (without x)
from left part to right part, we given:
$$- 7 x = - 4 x - 3$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-3\right) x = -3$$
Divide both parts of the equation by -3
x = -3 / (-3)
We get the answer: x = 1