2(3a+3)=(4a+3)

Solution for 2(3a+3)=(4a+3) equation:

Simplifying
2(3a + 3) = (4a + 3)

Reorder the terms:
2(3 + 3a) = (4a + 3)
(3 * 2 + 3a * 2) = (4a + 3)
(6 + 6a) = (4a + 3)

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

Remove parenthesis around (3 + 4a)
6 + 6a = 3 + 4a

Solving
6 + 6a = 3 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
6 + 6a + -4a = 3 + 4a + -4a

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

Combine like terms: 4a + -4a = 0
6 + 2a = 3 + 0
6 + 2a = 3

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

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

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

Divide each side by '2'.
a = -1.5

Simplifying
a = -1.5