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

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

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

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

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

Solving
6 + 2a = -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.
6 + 2a + -6a = -3 + 6a + -6a

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

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

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

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

Combine like terms: -3 + -6 = -9
-4a = -9

Divide each side by '-4'.
a = 2.25

Simplifying
a = 2.25