$5 \times 2+5 \times 3i-2i \times 2-2i \times 3i$
Multiply the numbers$10+5 \times 3i-2i \times 2-2i \times 3i$
Calculate the product$10+15i-2i \times 2-2i \times 3i$
Calculate the product$10+15i-4i-2i \times 3i$
Calculate the product$10+15i-4i-6{i}^{2}$
By definition ${i}^{2}=-1$$10+15i-4i-6 \times \left( -1 \right)$
Any expression multiplied by $-1$ equals its opposite$10+15i-4i+6$
Add the numbers$16+15i-4i$
Collect like terms$16+11i$