2(a+3)=10+a

Solution for 2(a+3)=10+a equation:

Simplifying
2(a + 3) = 10 + a

Reorder the terms:
2(3 + a) = 10 + a
(3 * 2 + a * 2) = 10 + a
(6 + 2a) = 10 + a

Solving
6 + 2a = 10 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
6 + 2a + -1a = 10 + a + -1a

Combine like terms: 2a + -1a = 1a
6 + 1a = 10 + a + -1a

Combine like terms: a + -1a = 0
6 + 1a = 10 + 0
6 + 1a = 10

Add '-6' to each side of the equation.
6 + -6 + 1a = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 1a = 10 + -6
1a = 10 + -6

Combine like terms: 10 + -6 = 4
1a = 4

Divide each side by '1'.
a = 4

Simplifying
a = 4