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

Solution for 2-(a-4)=-2(a-1) equation:

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

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

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

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

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

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

Combine like terms: -2a + 2a = 0
6 + 1a = 2 + 0
6 + 1a = 2

Add '-6' to each side of the equation.
6 + -6 + 1a = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 1a = 2 + -6
1a = 2 + -6

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

Divide each side by '1'.
a = -4

Simplifying
a = -4