105=5(3a+8)+5

Solution for 105=5(3a+8)+5 equation:

Simplifying
105 = 5(3a + 8) + 5

Reorder the terms:
105 = 5(8 + 3a) + 5
105 = (8 * 5 + 3a * 5) + 5
105 = (40 + 15a) + 5

Reorder the terms:
105 = 40 + 5 + 15a

Combine like terms: 40 + 5 = 45
105 = 45 + 15a

Solving
105 = 45 + 15a

Solving for variable 'a'.

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

Add '-15a' to each side of the equation.
105 + -15a = 45 + 15a + -15a

Combine like terms: 15a + -15a = 0
105 + -15a = 45 + 0
105 + -15a = 45

Add '-105' to each side of the equation.
105 + -105 + -15a = 45 + -105

Combine like terms: 105 + -105 = 0
0 + -15a = 45 + -105
-15a = 45 + -105

Combine like terms: 45 + -105 = -60
-15a = -60

Divide each side by '-15'.
a = 4

Simplifying
a = 4