6a+3(a+2)=30

Solution for 6a+3(a+2)=30 equation:

Simplifying
6a + 3(a + 2) = 30

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

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

Combine like terms: 6a + 3a = 9a
6 + 9a = 30

Solving
6 + 9a = 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 + 9a = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 9a = 30 + -6
9a = 30 + -6

Combine like terms: 30 + -6 = 24
9a = 24

Divide each side by '9'.
a = 2.666666667

Simplifying
a = 2.666666667