-2(1-a)+5=6-(a-1)

Solution for -2(1-a)+5=6-(a-1) equation:

Simplifying
-2(1 + -1a) + 5 = 6 + -1(a + -1)
(1 * -2 + -1a * -2) + 5 = 6 + -1(a + -1)
(-2 + 2a) + 5 = 6 + -1(a + -1)

Reorder the terms:
-2 + 5 + 2a = 6 + -1(a + -1)

Combine like terms: -2 + 5 = 3
3 + 2a = 6 + -1(a + -1)

Reorder the terms:
3 + 2a = 6 + -1(-1 + a)
3 + 2a = 6 + (-1 * -1 + a * -1)
3 + 2a = 6 + (1 + -1a)

Combine like terms: 6 + 1 = 7
3 + 2a = 7 + -1a

Solving
3 + 2a = 7 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
3 + 2a + a = 7 + -1a + a

Combine like terms: 2a + a = 3a
3 + 3a = 7 + -1a + a

Combine like terms: -1a + a = 0
3 + 3a = 7 + 0
3 + 3a = 7

Add '-3' to each side of the equation.
3 + -3 + 3a = 7 + -3

Combine like terms: 3 + -3 = 0
0 + 3a = 7 + -3
3a = 7 + -3

Combine like terms: 7 + -3 = 4
3a = 4

Divide each side by '3'.
a = 1.333333333

Simplifying
a = 1.333333333