4(a+2)=6-a

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

Simplifying
4(a + 2) = 6 + -1a

Reorder the terms:
4(2 + a) = 6 + -1a
(2 * 4 + a * 4) = 6 + -1a
(8 + 4a) = 6 + -1a

Solving
8 + 4a = 6 + -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.
8 + 4a + a = 6 + -1a + a

Combine like terms: 4a + a = 5a
8 + 5a = 6 + -1a + a

Combine like terms: -1a + a = 0
8 + 5a = 6 + 0
8 + 5a = 6

Add '-8' to each side of the equation.
8 + -8 + 5a = 6 + -8

Combine like terms: 8 + -8 = 0
0 + 5a = 6 + -8
5a = 6 + -8

Combine like terms: 6 + -8 = -2
5a = -2

Divide each side by '5'.
a = -0.4

Simplifying
a = -0.4