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

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

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

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

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

Remove parenthesis around (-1 + 2a)
9 + 6a = -1 + 2a

Solving
9 + 6a = -1 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
9 + 6a + -2a = -1 + 2a + -2a

Combine like terms: 6a + -2a = 4a
9 + 4a = -1 + 2a + -2a

Combine like terms: 2a + -2a = 0
9 + 4a = -1 + 0
9 + 4a = -1

Add '-9' to each side of the equation.
9 + -9 + 4a = -1 + -9

Combine like terms: 9 + -9 = 0
0 + 4a = -1 + -9
4a = -1 + -9

Combine like terms: -1 + -9 = -10
4a = -10

Divide each side by '4'.
a = -2.5

Simplifying
a = -2.5