-5a+6=a-38

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

Simplifying
-5a + 6 = a + -38

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

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

Solving
6 + -5a = -38 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
6 + -5a + -1a = -38 + a + -1a

Combine like terms: -5a + -1a = -6a
6 + -6a = -38 + a + -1a

Combine like terms: a + -1a = 0
6 + -6a = -38 + 0
6 + -6a = -38

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

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

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

Divide each side by '-6'.
a = 7.333333333

Simplifying
a = 7.333333333