Did I do this right or not?

Answer:
No
Step-by-step explanation:
[tex][x - 5][3x - 2] \\ \\ 3 {x}^{2} - 17x + 10[/tex]
F - Multiply the first terms in each set of parentheses FARTHEST TO THE LEFT
O - Multiply the first term in the first set of parentheses FARTHEST TO THE LEFT by the last term in the second set of parentheses FARTHEST TO THE RIGHT
I - Multiply the last term in the first set of parentheses FARTHEST TO THE RIGHT by the first term in the second set of parentheses FARTHEST TO THE LEFT
L - Multiply the last terms in each set of parentheses FARTHEST TO THE RIGHT
I am joyous to assist you anytime.