3(2a+1)-a=6a+3

Solution for 3(2a+1)-a=6a+3 equation:

Simplifying
3(2a + 1) + -1a = 6a + 3

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

Combine like terms: 6a + -1a = 5a
3 + 5a = 6a + 3

Reorder the terms:
3 + 5a = 3 + 6a

Add '-3' to each side of the equation.
3 + -3 + 5a = 3 + -3 + 6a

Combine like terms: 3 + -3 = 0
0 + 5a = 3 + -3 + 6a
5a = 3 + -3 + 6a

Combine like terms: 3 + -3 = 0
5a = 0 + 6a
5a = 6a

Solving
5a = 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.
5a + -6a = 6a + -6a

Combine like terms: 5a + -6a = -1a
-1a = 6a + -6a

Combine like terms: 6a + -6a = 0
-1a = 0

Divide each side by '-1'.
a = 0

Simplifying
a = 0