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

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

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

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

Reorder the terms:
6 + 2a = 3(6 + -3a)
6 + 2a = (6 * 3 + -3a * 3)
6 + 2a = (18 + -9a)

Solving
6 + 2a = 18 + -9a

Solving for variable 'a'.

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

Add '9a' to each side of the equation.
6 + 2a + 9a = 18 + -9a + 9a

Combine like terms: 2a + 9a = 11a
6 + 11a = 18 + -9a + 9a

Combine like terms: -9a + 9a = 0
6 + 11a = 18 + 0
6 + 11a = 18

Add '-6' to each side of the equation.
6 + -6 + 11a = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 11a = 18 + -6
11a = 18 + -6

Combine like terms: 18 + -6 = 12
11a = 12

Divide each side by '11'.
a = 1.090909091

Simplifying
a = 1.090909091