The given equation is not the conditional equation.
Explanation:
A conditional equation is true only certain values of the numbers present in it.
for example x + 3 = 9 is true only, if x = 6
3x - 5 = 10 is true only, if x = 5
The given equation is an Identity equation in which both sides of the equation is equal.
3(x - 4) + 5x = 4x + 4(x - 3)
3x - 12 + 5x = 4x + 4x - 12
8x = 8x.