-(5a+6)=6a-2(3a+8)

Solution for -(5a+6)=6a-2(3a+8) equation:

Simplifying
-1(5a + 6) = 6a + -2(3a + 8)

Reorder the terms:
-1(6 + 5a) = 6a + -2(3a + 8)
(6 * -1 + 5a * -1) = 6a + -2(3a + 8)
(-6 + -5a) = 6a + -2(3a + 8)

Reorder the terms:
-6 + -5a = 6a + -2(8 + 3a)
-6 + -5a = 6a + (8 * -2 + 3a * -2)
-6 + -5a = 6a + (-16 + -6a)

Reorder the terms:
-6 + -5a = -16 + 6a + -6a

Combine like terms: 6a + -6a = 0
-6 + -5a = -16 + 0
-6 + -5a = -16

Solving
-6 + -5a = -16

Solving for variable 'a'.

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

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

Combine like terms: -6 + 6 = 0
0 + -5a = -16 + 6
-5a = -16 + 6

Combine like terms: -16 + 6 = -10
-5a = -10

Divide each side by '-5'.
a = 2

Simplifying
a = 2