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

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

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

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

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

Reorder the terms:
3 + 5a = 1 + 6a

Solving
3 + 5a = 1 + 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.
3 + 5a + -6a = 1 + 6a + -6a

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

Combine like terms: 6a + -6a = 0
3 + -1a = 1 + 0
3 + -1a = 1

Add '-3' to each side of the equation.
3 + -3 + -1a = 1 + -3

Combine like terms: 3 + -3 = 0
0 + -1a = 1 + -3
-1a = 1 + -3

Combine like terms: 1 + -3 = -2
-1a = -2

Divide each side by '-1'.
a = 2

Simplifying
a = 2