2*(a+8)=42+a

Solution for 2*(a+8)=42+a equation:

Simplifying
2(a + 8) = 42 + a

Reorder the terms:
2(8 + a) = 42 + a
(8 * 2 + a * 2) = 42 + a
(16 + 2a) = 42 + a

Solving
16 + 2a = 42 + 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.
16 + 2a + -1a = 42 + a + -1a

Combine like terms: 2a + -1a = 1a
16 + 1a = 42 + a + -1a

Combine like terms: a + -1a = 0
16 + 1a = 42 + 0
16 + 1a = 42

Add '-16' to each side of the equation.
16 + -16 + 1a = 42 + -16

Combine like terms: 16 + -16 = 0
0 + 1a = 42 + -16
1a = 42 + -16

Combine like terms: 42 + -16 = 26
1a = 26

Divide each side by '1'.
a = 26

Simplifying
a = 26