3(8a+5)+6(a+8)=33

Solution for 3(8a+5)+6(a+8)=33 equation:

Simplifying
3(8a + 5) + 6(a + 8) = 33

Reorder the terms:
3(5 + 8a) + 6(a + 8) = 33
(5 * 3 + 8a * 3) + 6(a + 8) = 33
(15 + 24a) + 6(a + 8) = 33

Reorder the terms:
15 + 24a + 6(8 + a) = 33
15 + 24a + (8 * 6 + a * 6) = 33
15 + 24a + (48 + 6a) = 33

Reorder the terms:
15 + 48 + 24a + 6a = 33

Combine like terms: 15 + 48 = 63
63 + 24a + 6a = 33

Combine like terms: 24a + 6a = 30a
63 + 30a = 33

Solving
63 + 30a = 33

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-63' to each side of the equation.
63 + -63 + 30a = 33 + -63

Combine like terms: 63 + -63 = 0
0 + 30a = 33 + -63
30a = 33 + -63

Combine like terms: 33 + -63 = -30
30a = -30

Divide each side by '30'.
a = -1

Simplifying
a = -1