0.5a+6=13-a

Solution for 0.5a+6=13-a equation:

Simplifying
0.5a + 6 = 13 + -1a

Reorder the terms:
6 + 0.5a = 13 + -1a

Solving
6 + 0.5a = 13 + -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 + 0.5a + a = 13 + -1a + a

Combine like terms: 0.5a + a = 1.5a
6 + 1.5a = 13 + -1a + a

Combine like terms: -1a + a = 0
6 + 1.5a = 13 + 0
6 + 1.5a = 13

Add '-6' to each side of the equation.
6 + -6 + 1.5a = 13 + -6

Combine like terms: 6 + -6 = 0
0 + 1.5a = 13 + -6
1.5a = 13 + -6

Combine like terms: 13 + -6 = 7
1.5a = 7

Divide each side by '1.5'.
a = 4.666666667

Simplifying
a = 4.666666667