-[5a+6]=2[3a+8]

Solution for -[5a+6]=2[3a+8] equation:

Simplifying
-1[5a + 6] = 2[3a + 8]

Reorder the terms:
-1[6 + 5a] = 2[3a + 8]
[6 * -1 + 5a * -1] = 2[3a + 8]
[-6 + -5a] = 2[3a + 8]

Reorder the terms:
-6 + -5a = 2[8 + 3a]
-6 + -5a = [8 * 2 + 3a * 2]
-6 + -5a = [16 + 6a]

Solving
-6 + -5a = 16 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-6 + -5a + -6a = 16 + 6a + -6a

Combine like terms: -5a + -6a = -11a
-6 + -11a = 16 + 6a + -6a

Combine like terms: 6a + -6a = 0
-6 + -11a = 16 + 0
-6 + -11a = 16

Add '6' to each side of the equation.
-6 + 6 + -11a = 16 + 6

Combine like terms: -6 + 6 = 0
0 + -11a = 16 + 6
-11a = 16 + 6

Combine like terms: 16 + 6 = 22
-11a = 22

Divide each side by '-11'.
a = -2

Simplifying
a = -2