6a+6=5a+1

Solution for 6a+6=5a+1 equation:

Simplifying
6a + 6 = 5a + 1

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

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

Solving
6 + 6a = 1 + 5a

Solving for variable 'a'.

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

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

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

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

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

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

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

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

Simplifying
a = -5