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

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

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

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

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

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

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

Solving
2 + -1a = 6 + -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 + -1a + 3a = 6 + -3a + 3a

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

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

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

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

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

Divide each side by '2'.
a = 2

Simplifying
a = 2