4a+6=a+14-2

Solution for 4a+6=a+14-2 equation:

Simplifying
4a + 6 = a + 14 + -2

Reorder the terms:
6 + 4a = a + 14 + -2

Reorder the terms:
6 + 4a = 14 + -2 + a

Combine like terms: 14 + -2 = 12
6 + 4a = 12 + a

Solving
6 + 4a = 12 + 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 = 12 + a + -1a

Combine like terms: 4a + -1a = 3a
6 + 3a = 12 + a + -1a

Combine like terms: a + -1a = 0
6 + 3a = 12 + 0
6 + 3a = 12

Add '-6' to each side of the equation.
6 + -6 + 3a = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 3a = 12 + -6
3a = 12 + -6

Combine like terms: 12 + -6 = 6
3a = 6

Divide each side by '3'.
a = 2

Simplifying
a = 2