3a+6=2a-14

Solution for 3a+6=2a-14 equation:

Simplifying
3a + 6 = 2a + -14

Reorder the terms:
6 + 3a = 2a + -14

Reorder the terms:
6 + 3a = -14 + 2a

Solving
6 + 3a = -14 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
6 + 3a + -2a = -14 + 2a + -2a

Combine like terms: 3a + -2a = 1a
6 + 1a = -14 + 2a + -2a

Combine like terms: 2a + -2a = 0
6 + 1a = -14 + 0
6 + 1a = -14

Add '-6' to each side of the equation.
6 + -6 + 1a = -14 + -6

Combine like terms: 6 + -6 = 0
0 + 1a = -14 + -6
1a = -14 + -6

Combine like terms: -14 + -6 = -20
1a = -20

Divide each side by '1'.
a = -20

Simplifying
a = -20