2[a-(2-3a)-4]=a-4

Solution for 2[a-(2-3a)-4]=a-4 equation:

Simplifying
2[a + -1(2 + -3a) + -4] = a + -4
2[a + (2 * -1 + -3a * -1) + -4] = a + -4
2[a + (-2 + 3a) + -4] = a + -4

Reorder the terms:
2[-2 + -4 + a + 3a] = a + -4

Combine like terms: -2 + -4 = -6
2[-6 + a + 3a] = a + -4

Combine like terms: a + 3a = 4a
2[-6 + 4a] = a + -4
[-6 * 2 + 4a * 2] = a + -4
[-12 + 8a] = a + -4

Reorder the terms:
-12 + 8a = -4 + a

Solving
-12 + 8a = -4 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-12 + 8a + -1a = -4 + a + -1a

Combine like terms: 8a + -1a = 7a
-12 + 7a = -4 + a + -1a

Combine like terms: a + -1a = 0
-12 + 7a = -4 + 0
-12 + 7a = -4

Add '12' to each side of the equation.
-12 + 12 + 7a = -4 + 12

Combine like terms: -12 + 12 = 0
0 + 7a = -4 + 12
7a = -4 + 12

Combine like terms: -4 + 12 = 8
7a = 8

Divide each side by '7'.
a = 1.142857143

Simplifying
a = 1.142857143