5a+3(a+2)=30

Solution for 5a+3(a+2)=30 equation:

Simplifying
5a + 3(a + 2) = 30

Reorder the terms:
5a + 3(2 + a) = 30
5a + (2 * 3 + a * 3) = 30
5a + (6 + 3a) = 30

Reorder the terms:
6 + 5a + 3a = 30

Combine like terms: 5a + 3a = 8a
6 + 8a = 30

Solving
6 + 8a = 30

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6 + 8a = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 8a = 30 + -6
8a = 30 + -6

Combine like terms: 30 + -6 = 24
8a = 24

Divide each side by '8'.
a = 3

Simplifying
a = 3