2(3+2a)=6-a+5

Solution for 2(3+2a)=6-a+5 equation:

Simplifying
2(3 + 2a) = 6 + -1a + 5
(3 * 2 + 2a * 2) = 6 + -1a + 5
(6 + 4a) = 6 + -1a + 5

Reorder the terms:
6 + 4a = 6 + 5 + -1a

Combine like terms: 6 + 5 = 11
6 + 4a = 11 + -1a

Solving
6 + 4a = 11 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
6 + 4a + a = 11 + -1a + a

Combine like terms: 4a + a = 5a
6 + 5a = 11 + -1a + a

Combine like terms: -1a + a = 0
6 + 5a = 11 + 0
6 + 5a = 11

Add '-6' to each side of the equation.
6 + -6 + 5a = 11 + -6

Combine like terms: 6 + -6 = 0
0 + 5a = 11 + -6
5a = 11 + -6

Combine like terms: 11 + -6 = 5
5a = 5

Divide each side by '5'.
a = 1

Simplifying
a = 1