5a+2-2a=4a-9a-6

Solution for 5a+2-2a=4a-9a-6 equation:

Simplifying
5a + 2 + -2a = 4a + -9a + -6

Reorder the terms:
2 + 5a + -2a = 4a + -9a + -6

Combine like terms: 5a + -2a = 3a
2 + 3a = 4a + -9a + -6

Reorder the terms:
2 + 3a = -6 + 4a + -9a

Combine like terms: 4a + -9a = -5a
2 + 3a = -6 + -5a

Solving
2 + 3a = -6 + -5a

Solving for variable 'a'.

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

Add '5a' to each side of the equation.
2 + 3a + 5a = -6 + -5a + 5a

Combine like terms: 3a + 5a = 8a
2 + 8a = -6 + -5a + 5a

Combine like terms: -5a + 5a = 0
2 + 8a = -6 + 0
2 + 8a = -6

Add '-2' to each side of the equation.
2 + -2 + 8a = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 8a = -6 + -2
8a = -6 + -2

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

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

Simplifying
a = -1