3a+3-8a=4(1+3a)-6(1+3a)

Solution for 3a+3-8a=4(1+3a)-6(1+3a) equation:

Simplifying
3a + 3 + -8a = 4(1 + 3a) + -6(1 + 3a)

Reorder the terms:
3 + 3a + -8a = 4(1 + 3a) + -6(1 + 3a)

Combine like terms: 3a + -8a = -5a
3 + -5a = 4(1 + 3a) + -6(1 + 3a)
3 + -5a = (1 * 4 + 3a * 4) + -6(1 + 3a)
3 + -5a = (4 + 12a) + -6(1 + 3a)
3 + -5a = 4 + 12a + (1 * -6 + 3a * -6)
3 + -5a = 4 + 12a + (-6 + -18a)

Reorder the terms:
3 + -5a = 4 + -6 + 12a + -18a

Combine like terms: 4 + -6 = -2
3 + -5a = -2 + 12a + -18a

Combine like terms: 12a + -18a = -6a
3 + -5a = -2 + -6a

Solving
3 + -5a = -2 + -6a

Solving for variable 'a'.

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

Add '6a' to each side of the equation.
3 + -5a + 6a = -2 + -6a + 6a

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

Combine like terms: -6a + 6a = 0
3 + 1a = -2 + 0
3 + 1a = -2

Add '-3' to each side of the equation.
3 + -3 + 1a = -2 + -3

Combine like terms: 3 + -3 = 0
0 + 1a = -2 + -3
1a = -2 + -3

Combine like terms: -2 + -3 = -5
1a = -5

Divide each side by '1'.
a = -5

Simplifying
a = -5