2-(a-4)=4a-(2a+4)

Solution for 2-(a-4)=4a-(2a+4) equation:

Simplifying
2 + -1(a + -4) = 4a + -1(2a + 4)

Reorder the terms:
2 + -1(-4 + a) = 4a + -1(2a + 4)
2 + (-4 * -1 + a * -1) = 4a + -1(2a + 4)
2 + (4 + -1a) = 4a + -1(2a + 4)

Combine like terms: 2 + 4 = 6
6 + -1a = 4a + -1(2a + 4)

Reorder the terms:
6 + -1a = 4a + -1(4 + 2a)
6 + -1a = 4a + (4 * -1 + 2a * -1)
6 + -1a = 4a + (-4 + -2a)

Reorder the terms:
6 + -1a = -4 + 4a + -2a

Combine like terms: 4a + -2a = 2a
6 + -1a = -4 + 2a

Solving
6 + -1a = -4 + 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.
6 + -1a + -2a = -4 + 2a + -2a

Combine like terms: -1a + -2a = -3a
6 + -3a = -4 + 2a + -2a

Combine like terms: 2a + -2a = 0
6 + -3a = -4 + 0
6 + -3a = -4

Add '-6' to each side of the equation.
6 + -6 + -3a = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -3a = -4 + -6
-3a = -4 + -6

Combine like terms: -4 + -6 = -10
-3a = -10

Divide each side by '-3'.
a = 3.333333333

Simplifying
a = 3.333333333