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

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

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

Reorder the terms:
2(3 + 2a) = 3(2a + -1) + a
(3 * 2 + 2a * 2) = 3(2a + -1) + a
(6 + 4a) = 3(2a + -1) + a

Reorder the terms:
6 + 4a = 3(-1 + 2a) + a
6 + 4a = (-1 * 3 + 2a * 3) + a
6 + 4a = (-3 + 6a) + a

Combine like terms: 6a + a = 7a
6 + 4a = -3 + 7a

Solving
6 + 4a = -3 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
6 + 4a + -7a = -3 + 7a + -7a

Combine like terms: 4a + -7a = -3a
6 + -3a = -3 + 7a + -7a

Combine like terms: 7a + -7a = 0
6 + -3a = -3 + 0
6 + -3a = -3

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

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

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

Divide each side by '-3'.
a = 3

Simplifying
a = 3