a+6=3a+1

Solution for a+6=3a+1 equation:

Simplifying
a + 6 = 3a + 1

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

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

Solving
6 + a = 1 + 3a

Solving for variable 'a'.

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

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

Combine like terms: a + -3a = -2a
6 + -2a = 1 + 3a + -3a

Combine like terms: 3a + -3a = 0
6 + -2a = 1 + 0
6 + -2a = 1

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

Combine like terms: 6 + -6 = 0
0 + -2a = 1 + -6
-2a = 1 + -6

Combine like terms: 1 + -6 = -5
-2a = -5

Divide each side by '-2'.
a = 2.5

Simplifying
a = 2.5