Apply the associative and commutative properties to generate an expression equivalent to 2 (a+5)+4(2a+3)-10

Using the associative property:

2(a+5) + 4(2a+3) - 10

Using the distributive property within each term:
2*a + 2*5 + 4*2*a + 4*3 - 10

Simplify:
2a + 10 + 8a + 12 - 10

Combine like terms:
10a + 10 + 12 - 10

10a + 12