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

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

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

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

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

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

Reorder the terms:
2 + -1a = -2 + 3a + 1a

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

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

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
2 + -1a + -4a = -2 + 4a + -4a

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

Combine like terms: 4a + -4a = 0
2 + -5a = -2 + 0
2 + -5a = -2

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

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

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

Divide each side by '-5'.
a = 0.8

Simplifying
a = 0.8