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

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

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

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

Remove parenthesis around (6 + -5a)
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 = 10
-11a = 10

Divide each side by '-11'.
a = -0.9090909091

Simplifying
a = -0.9090909091