2(a+3)+2(3a+2)=26

Solution for 2(a+3)+2(3a+2)=26 equation:

Simplifying
2(a + 3) + 2(3a + 2) = 26

Reorder the terms:
2(3 + a) + 2(3a + 2) = 26
(3 * 2 + a * 2) + 2(3a + 2) = 26
(6 + 2a) + 2(3a + 2) = 26

Reorder the terms:
6 + 2a + 2(2 + 3a) = 26
6 + 2a + (2 * 2 + 3a * 2) = 26
6 + 2a + (4 + 6a) = 26

Reorder the terms:
6 + 4 + 2a + 6a = 26

Combine like terms: 6 + 4 = 10
10 + 2a + 6a = 26

Combine like terms: 2a + 6a = 8a
10 + 8a = 26

Solving
10 + 8a = 26

Solving for variable 'a'.

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

Add '-10' to each side of the equation.
10 + -10 + 8a = 26 + -10

Combine like terms: 10 + -10 = 0
0 + 8a = 26 + -10
8a = 26 + -10

Combine like terms: 26 + -10 = 16
8a = 16

Divide each side by '8'.
a = 2

Simplifying
a = 2