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 = -3a
6 + -3a = -2 + 2a + -2a

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

Add '-6' to each side of the equation.
6 + -6 + -3a = -2 + -6

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

Combine like terms: -2 + -6 = -8
-3a = -8

Divide each side by '-3'.
a = 2.666666667

Simplifying
a = 2.666666667