Four times a number (we are gonna make that be "x") increased by 3 would be 4x+3 it says it is the same as (means it is equal to) twice the number (2x) increased by 9 (+9) so the full equation would be 4x+3=2x+9
You have to solve for the number (x).
4x+3=2x+9
-2x -2x (Have to get the x's to one side)
2x+3=9
-3 -3 (you have to get the numbers on one side too)
2x=6
/2 /2 (to get x alone)
X=3 (the number is 3)