3(a-1)-(2a-4)=1

Solution for 3(a-1)-(2a-4)=1 equation:

Simplifying
3(a + -1) + -1(2a + -4) = 1

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

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

Reorder the terms:
-3 + 4 + 3a + -2a = 1

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

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

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

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

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

Solving
1a = 0

Solving for variable 'a'.

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

Divide each side by '1'.
a = 0

Simplifying
a = 0