To convert the statement "three more than five times a number equals 19" into a mathematical equation, let's break it down step-by-step:
1. Five times a number: If we denote the unknown number by [tex]\( x \)[/tex], five times that number is represented as [tex]\( 5x \)[/tex].
2. Three more than five times a number: Adding 3 to five times the number gives us [tex]\( 5x + 3 \)[/tex].
3. Equals 19: The statement says that this expression is equal to 19, hence we set the equation as [tex]\( 5x + 3 = 19 \)[/tex].
So, when we put it all together, the equation is:
[tex]\[ 5x + 3 = 19 \][/tex]
Therefore, the correct equation from the given options is:
[tex]\[ 5x + 3 = 19 \][/tex]
