3a+6=-4a+2

Solution for 3a+6=-4a+2 equation:

Simplifying
3a + 6 = -4a + 2

Reorder the terms:
6 + 3a = -4a + 2

Reorder the terms:
6 + 3a = 2 + -4a

Solving
6 + 3a = 2 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
6 + 3a + 4a = 2 + -4a + 4a

Combine like terms: 3a + 4a = 7a
6 + 7a = 2 + -4a + 4a

Combine like terms: -4a + 4a = 0
6 + 7a = 2 + 0
6 + 7a = 2

Add '-6' to each side of the equation.
6 + -6 + 7a = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 7a = 2 + -6
7a = 2 + -6

Combine like terms: 2 + -6 = -4
7a = -4

Divide each side by '7'.
a = -0.5714285714

Simplifying
a = -0.5714285714