-5a+6=6a-38

Solution for -5a+6=6a-38 equation:

Simplifying
-5a + 6 = 6a + -38

Reorder the terms:
6 + -5a = 6a + -38

Reorder the terms:
6 + -5a = -38 + 6a

Solving
6 + -5a = -38 + 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.
6 + -5a + -6a = -38 + 6a + -6a

Combine like terms: -5a + -6a = -11a
6 + -11a = -38 + 6a + -6a

Combine like terms: 6a + -6a = 0
6 + -11a = -38 + 0
6 + -11a = -38

Add '-6' to each side of the equation.
6 + -6 + -11a = -38 + -6

Combine like terms: 6 + -6 = 0
0 + -11a = -38 + -6
-11a = -38 + -6

Combine like terms: -38 + -6 = -44
-11a = -44

Divide each side by '-11'.
a = 4

Simplifying
a = 4