2(a-(1-a))=3(a-1)+8

Solution for 2(a-(1-a))=3(a-1)+8 equation:

Simplifying
2(a + -1(1 + -1a)) = 3(a + -1) + 8
2(a + (1 * -1 + -1a * -1)) = 3(a + -1) + 8
2(a + (-1 + 1a)) = 3(a + -1) + 8

Reorder the terms:
2(-1 + a + 1a) = 3(a + -1) + 8

Combine like terms: a + 1a = 2a
2(-1 + 2a) = 3(a + -1) + 8
(-1 * 2 + 2a * 2) = 3(a + -1) + 8
(-2 + 4a) = 3(a + -1) + 8

Reorder the terms:
-2 + 4a = 3(-1 + a) + 8
-2 + 4a = (-1 * 3 + a * 3) + 8
-2 + 4a = (-3 + 3a) + 8

Reorder the terms:
-2 + 4a = -3 + 8 + 3a

Combine like terms: -3 + 8 = 5
-2 + 4a = 5 + 3a

Solving
-2 + 4a = 5 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-2 + 4a + -3a = 5 + 3a + -3a

Combine like terms: 4a + -3a = 1a
-2 + 1a = 5 + 3a + -3a

Combine like terms: 3a + -3a = 0
-2 + 1a = 5 + 0
-2 + 1a = 5

Add '2' to each side of the equation.
-2 + 2 + 1a = 5 + 2

Combine like terms: -2 + 2 = 0
0 + 1a = 5 + 2
1a = 5 + 2

Combine like terms: 5 + 2 = 7
1a = 7

Divide each side by '1'.
a = 7

Simplifying
a = 7