8a-2a=3(a-1)+3(1-5a)

Solution for 8a-2a=3(a-1)+3(1-5a) equation:

Simplifying
8a + -2a = 3(a + -1) + 3(1 + -5a)

Combine like terms: 8a + -2a = 6a
6a = 3(a + -1) + 3(1 + -5a)

Reorder the terms:
6a = 3(-1 + a) + 3(1 + -5a)
6a = (-1 * 3 + a * 3) + 3(1 + -5a)
6a = (-3 + 3a) + 3(1 + -5a)
6a = -3 + 3a + (1 * 3 + -5a * 3)
6a = -3 + 3a + (3 + -15a)

Reorder the terms:
6a = -3 + 3 + 3a + -15a

Combine like terms: -3 + 3 = 0
6a = 0 + 3a + -15a
6a = 3a + -15a

Combine like terms: 3a + -15a = -12a
6a = -12a

Solving
6a = -12a

Solving for variable 'a'.

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

Add '12a' to each side of the equation.
6a + 12a = -12a + 12a

Combine like terms: 6a + 12a = 18a
18a = -12a + 12a

Combine like terms: -12a + 12a = 0
18a = 0

Divide each side by '18'.
a = 0

Simplifying
a = 0