2(a-8)6+7=5(a+2)-3a-19

Solution for 2(a-8)6+7=5(a+2)-3a-19 equation:

Simplifying
2(a + -8) * 6 + 7 = 5(a + 2) + -3a + -19

Reorder the terms:
2(-8 + a) * 6 + 7 = 5(a + 2) + -3a + -19

Reorder the terms for easier multiplication:
2 * 6(-8 + a) + 7 = 5(a + 2) + -3a + -19

Multiply 2 * 6
12(-8 + a) + 7 = 5(a + 2) + -3a + -19
(-8 * 12 + a * 12) + 7 = 5(a + 2) + -3a + -19
(-96 + 12a) + 7 = 5(a + 2) + -3a + -19

Reorder the terms:
-96 + 7 + 12a = 5(a + 2) + -3a + -19

Combine like terms: -96 + 7 = -89
-89 + 12a = 5(a + 2) + -3a + -19

Reorder the terms:
-89 + 12a = 5(2 + a) + -3a + -19
-89 + 12a = (2 * 5 + a * 5) + -3a + -19
-89 + 12a = (10 + 5a) + -3a + -19

Reorder the terms:
-89 + 12a = 10 + -19 + 5a + -3a

Combine like terms: 10 + -19 = -9
-89 + 12a = -9 + 5a + -3a

Combine like terms: 5a + -3a = 2a
-89 + 12a = -9 + 2a

Solving
-89 + 12a = -9 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-89 + 12a + -2a = -9 + 2a + -2a

Combine like terms: 12a + -2a = 10a
-89 + 10a = -9 + 2a + -2a

Combine like terms: 2a + -2a = 0
-89 + 10a = -9 + 0
-89 + 10a = -9

Add '89' to each side of the equation.
-89 + 89 + 10a = -9 + 89

Combine like terms: -89 + 89 = 0
0 + 10a = -9 + 89
10a = -9 + 89

Combine like terms: -9 + 89 = 80
10a = 80

Divide each side by '10'.
a = 8

Simplifying
a = 8