a+6=6a+1

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

Simplifying
a + 6 = 6a + 1

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

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

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

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

Combine like terms: 6a + -6a = 0
6 + -5a = 1 + 0
6 + -5a = 1

Add '-6' to each side of the equation.
6 + -6 + -5a = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -5a = 1 + -6
-5a = 1 + -6

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

Divide each side by '-5'.
a = 1

Simplifying
a = 1