5a+6=48-a

Solution for 5a+6=48-a equation:

Simplifying
5a + 6 = 48 + -1a

Reorder the terms:
6 + 5a = 48 + -1a

Solving
6 + 5a = 48 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
6 + 5a + a = 48 + -1a + a

Combine like terms: 5a + a = 6a
6 + 6a = 48 + -1a + a

Combine like terms: -1a + a = 0
6 + 6a = 48 + 0
6 + 6a = 48

Add '-6' to each side of the equation.
6 + -6 + 6a = 48 + -6

Combine like terms: 6 + -6 = 0
0 + 6a = 48 + -6
6a = 48 + -6

Combine like terms: 48 + -6 = 42
6a = 42

Divide each side by '6'.
a = 7

Simplifying
a = 7