6-4a=2(-a+3)-4(2a-1)

Solution for 6-4a=2(-a+3)-4(2a-1) equation:

Simplifying
6 + -4a = 2(-1a + 3) + -4(2a + -1)

Reorder the terms:
6 + -4a = 2(3 + -1a) + -4(2a + -1)
6 + -4a = (3 * 2 + -1a * 2) + -4(2a + -1)
6 + -4a = (6 + -2a) + -4(2a + -1)

Reorder the terms:
6 + -4a = 6 + -2a + -4(-1 + 2a)
6 + -4a = 6 + -2a + (-1 * -4 + 2a * -4)
6 + -4a = 6 + -2a + (4 + -8a)

Reorder the terms:
6 + -4a = 6 + 4 + -2a + -8a

Combine like terms: 6 + 4 = 10
6 + -4a = 10 + -2a + -8a

Combine like terms: -2a + -8a = -10a
6 + -4a = 10 + -10a

Solving
6 + -4a = 10 + -10a

Solving for variable 'a'.

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

Add '10a' to each side of the equation.
6 + -4a + 10a = 10 + -10a + 10a

Combine like terms: -4a + 10a = 6a
6 + 6a = 10 + -10a + 10a

Combine like terms: -10a + 10a = 0
6 + 6a = 10 + 0
6 + 6a = 10

Add '-6' to each side of the equation.
6 + -6 + 6a = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 6a = 10 + -6
6a = 10 + -6

Combine like terms: 10 + -6 = 4
6a = 4

Divide each side by '6'.
a = 0.6666666667

Simplifying
a = 0.6666666667