2a+6=2(6a+13)

Solution for 2a+6=2(6a+13) equation:

Simplifying
2a + 6 = 2(6a + 13)

Reorder the terms:
6 + 2a = 2(6a + 13)

Reorder the terms:
6 + 2a = 2(13 + 6a)
6 + 2a = (13 * 2 + 6a * 2)
6 + 2a = (26 + 12a)

Solving
6 + 2a = 26 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
6 + 2a + -12a = 26 + 12a + -12a

Combine like terms: 2a + -12a = -10a
6 + -10a = 26 + 12a + -12a

Combine like terms: 12a + -12a = 0
6 + -10a = 26 + 0
6 + -10a = 26

Add '-6' to each side of the equation.
6 + -6 + -10a = 26 + -6

Combine like terms: 6 + -6 = 0
0 + -10a = 26 + -6
-10a = 26 + -6

Combine like terms: 26 + -6 = 20
-10a = 20

Divide each side by '-10'.
a = -2

Simplifying
a = -2