8(x+4)−3x=2(x+16)+3x

Sure, let's solve the equation step by step:

1. First, distribute the numbers outside the parentheses on both sides of the equation:

   8x + 32 - 3x = 2x + 32 + 3x

2. Then, combine like terms on both sides:

   5x + 32 = 5x + 32

3. Now, subtract 5x from both sides:

   32 = 32

This is a true statement, which means the original equation is an identity. It is true for all values of x.