3a-6(1+3a)=5-4(1+4a)

Solution for 3a-6(1+3a)=5-4(1+4a) equation:

Simplifying
3a + -6(1 + 3a) = 5 + -4(1 + 4a)
3a + (1 * -6 + 3a * -6) = 5 + -4(1 + 4a)
3a + (-6 + -18a) = 5 + -4(1 + 4a)

Reorder the terms:
-6 + 3a + -18a = 5 + -4(1 + 4a)

Combine like terms: 3a + -18a = -15a
-6 + -15a = 5 + -4(1 + 4a)
-6 + -15a = 5 + (1 * -4 + 4a * -4)
-6 + -15a = 5 + (-4 + -16a)

Combine like terms: 5 + -4 = 1
-6 + -15a = 1 + -16a

Solving
-6 + -15a = 1 + -16a

Solving for variable 'a'.

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

Add '16a' to each side of the equation.
-6 + -15a + 16a = 1 + -16a + 16a

Combine like terms: -15a + 16a = 1a
-6 + 1a = 1 + -16a + 16a

Combine like terms: -16a + 16a = 0
-6 + 1a = 1 + 0
-6 + 1a = 1

Add '6' to each side of the equation.
-6 + 6 + 1a = 1 + 6

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

Combine like terms: 1 + 6 = 7
1a = 7

Divide each side by '1'.
a = 7

Simplifying
a = 7