6(3a+1)-30=3(2a)

Solution for 6(3a+1)-30=3(2a) equation:

Simplifying
6(3a + 1) + -30 = 3(2a)

Reorder the terms:
6(1 + 3a) + -30 = 3(2a)
(1 * 6 + 3a * 6) + -30 = 3(2a)
(6 + 18a) + -30 = 3(2a)

Reorder the terms:
6 + -30 + 18a = 3(2a)

Combine like terms: 6 + -30 = -24
-24 + 18a = 3(2a)

Remove parenthesis around (2a)
-24 + 18a = 3 * 2a

Multiply 3 * 2
-24 + 18a = 6a

Solving
-24 + 18a = 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.
-24 + 18a + -6a = 6a + -6a

Combine like terms: 18a + -6a = 12a
-24 + 12a = 6a + -6a

Combine like terms: 6a + -6a = 0
-24 + 12a = 0

Add '24' to each side of the equation.
-24 + 24 + 12a = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 12a = 0 + 24
12a = 0 + 24

Combine like terms: 0 + 24 = 24
12a = 24

Divide each side by '12'.
a = 2

Simplifying
a = 2