4a+6=a+1

Solution for 4a+6=a+1 equation:

Simplifying
4a + 6 = a + 1

Reorder the terms:
6 + 4a = a + 1

Reorder the terms:
6 + 4a = 1 + a

Solving
6 + 4a = 1 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
6 + 4a + -1a = 1 + a + -1a

Combine like terms: 4a + -1a = 3a
6 + 3a = 1 + a + -1a

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

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

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

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

Divide each side by '3'.
a = -1.666666667

Simplifying
a = -1.666666667