8(a+9)=2[a-(10-a)]

Solution for 8(a+9)=2[a-(10-a)] equation:

Simplifying
8(a + 9) = 2[a + -1(10 + -1a)]

Reorder the terms:
8(9 + a) = 2[a + -1(10 + -1a)]
(9 * 8 + a * 8) = 2[a + -1(10 + -1a)]
(72 + 8a) = 2[a + -1(10 + -1a)]
72 + 8a = 2[a + (10 * -1 + -1a * -1)]
72 + 8a = 2[a + (-10 + 1a)]

Reorder the terms:
72 + 8a = 2[-10 + a + 1a]

Combine like terms: a + 1a = 2a
72 + 8a = 2[-10 + 2a]
72 + 8a = [-10 * 2 + 2a * 2]
72 + 8a = [-20 + 4a]

Solving
72 + 8a = -20 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
72 + 8a + -4a = -20 + 4a + -4a

Combine like terms: 8a + -4a = 4a
72 + 4a = -20 + 4a + -4a

Combine like terms: 4a + -4a = 0
72 + 4a = -20 + 0
72 + 4a = -20

Add '-72' to each side of the equation.
72 + -72 + 4a = -20 + -72

Combine like terms: 72 + -72 = 0
0 + 4a = -20 + -72
4a = -20 + -72

Combine like terms: -20 + -72 = -92
4a = -92

Divide each side by '4'.
a = -23

Simplifying
a = -23