The equation 4x+8=4(x+4)−8 can be simplified by distributing the 4 on the right side of the equation:
4x+8=4x+16-8
Subtracting 4x from both sides:
8=16-8+8
Which simplifies to:
8=8
This is a true statement, so x could be any real number. The solution to the equation is x is any real number or x∈R.