2a+6=3a-2

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

Simplifying
2a + 6 = 3a + -2

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

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

Solving
6 + 2a = -2 + 3a

Solving for variable 'a'.

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

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

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

Combine like terms: 3a + -3a = 0
6 + -1a = -2 + 0
6 + -1a = -2

Add '-6' to each side of the equation.
6 + -6 + -1a = -2 + -6

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

Combine like terms: -2 + -6 = -8
-1a = -8

Divide each side by '-1'.
a = 8

Simplifying
a = 8