6(a+6)=a+2(5-4a)

Solution for 6(a+6)=a+2(5-4a) equation:

Simplifying
6(a + 6) = a + 2(5 + -4a)

Reorder the terms:
6(6 + a) = a + 2(5 + -4a)
(6 * 6 + a * 6) = a + 2(5 + -4a)
(36 + 6a) = a + 2(5 + -4a)
36 + 6a = a + (5 * 2 + -4a * 2)
36 + 6a = a + (10 + -8a)

Reorder the terms:
36 + 6a = 10 + a + -8a

Combine like terms: a + -8a = -7a
36 + 6a = 10 + -7a

Solving
36 + 6a = 10 + -7a

Solving for variable 'a'.

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

Add '7a' to each side of the equation.
36 + 6a + 7a = 10 + -7a + 7a

Combine like terms: 6a + 7a = 13a
36 + 13a = 10 + -7a + 7a

Combine like terms: -7a + 7a = 0
36 + 13a = 10 + 0
36 + 13a = 10

Add '-36' to each side of the equation.
36 + -36 + 13a = 10 + -36

Combine like terms: 36 + -36 = 0
0 + 13a = 10 + -36
13a = 10 + -36

Combine like terms: 10 + -36 = -26
13a = -26

Divide each side by '13'.
a = -2

Simplifying
a = -2