5a+2=6a-6

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

Simplifying
5a + 2 = 6a + -6

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

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

Solving
2 + 5a = -6 + 6a

Solving for variable 'a'.

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

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

Combine like terms: 5a + -6a = -1a
2 + -1a = -6 + 6a + -6a

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

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

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

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

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

Simplifying
a = 8