3a+2=-a+6

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

Simplifying
3a + 2 = -1a + 6

Reorder the terms:
2 + 3a = -1a + 6

Reorder the terms:
2 + 3a = 6 + -1a

Solving
2 + 3a = 6 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
2 + 3a + a = 6 + -1a + a

Combine like terms: 3a + a = 4a
2 + 4a = 6 + -1a + a

Combine like terms: -1a + a = 0
2 + 4a = 6 + 0
2 + 4a = 6

Add '-2' to each side of the equation.
2 + -2 + 4a = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 4a = 6 + -2
4a = 6 + -2

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

Divide each side by '4'.
a = 1

Simplifying
a = 1