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

Solution for -1(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