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

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

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

Reorder the terms:
3(1 + 3a) + -30 = 3(2a + 1)
(1 * 3 + 3a * 3) + -30 = 3(2a + 1)
(3 + 9a) + -30 = 3(2a + 1)

Reorder the terms:
3 + -30 + 9a = 3(2a + 1)

Combine like terms: 3 + -30 = -27
-27 + 9a = 3(2a + 1)

Reorder the terms:
-27 + 9a = 3(1 + 2a)
-27 + 9a = (1 * 3 + 2a * 3)
-27 + 9a = (3 + 6a)

Solving
-27 + 9a = 3 + 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.
-27 + 9a + -6a = 3 + 6a + -6a

Combine like terms: 9a + -6a = 3a
-27 + 3a = 3 + 6a + -6a

Combine like terms: 6a + -6a = 0
-27 + 3a = 3 + 0
-27 + 3a = 3

Add '27' to each side of the equation.
-27 + 27 + 3a = 3 + 27

Combine like terms: -27 + 27 = 0
0 + 3a = 3 + 27
3a = 3 + 27

Combine like terms: 3 + 27 = 30
3a = 30

Divide each side by '3'.
a = 10

Simplifying
a = 10