3(a+1)+5a=33

Solution for 3(a+1)+5a=33 equation:

Simplifying
3(a + 1) + 5a = 33

Reorder the terms:
3(1 + a) + 5a = 33
(1 * 3 + a * 3) + 5a = 33
(3 + 3a) + 5a = 33

Combine like terms: 3a + 5a = 8a
3 + 8a = 33

Solving
3 + 8a = 33

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + -3 + 8a = 33 + -3

Combine like terms: 3 + -3 = 0
0 + 8a = 33 + -3
8a = 33 + -3

Combine like terms: 33 + -3 = 30
8a = 30

Divide each side by '8'.
a = 3.75

Simplifying
a = 3.75