.5(p+6)=(3-p)

Solution for .5(p+6)=(3-p) equation:

Simplifying
0.5(p + 6) = (3 + -1p)

Reorder the terms:
0.5(6 + p) = (3 + -1p)
(6 * 0.5 + p * 0.5) = (3 + -1p)
(3 + 0.5p) = (3 + -1p)

Remove parenthesis around (3 + -1p)
3 + 0.5p = 3 + -1p

Add '-3' to each side of the equation.
3 + -3 + 0.5p = 3 + -3 + -1p

Combine like terms: 3 + -3 = 0
0 + 0.5p = 3 + -3 + -1p
0.5p = 3 + -3 + -1p

Combine like terms: 3 + -3 = 0
0.5p = 0 + -1p
0.5p = -1p

Solving
0.5p = -1p

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
0.5p + p = -1p + p

Combine like terms: 0.5p + p = 1.5p
1.5p = -1p + p

Combine like terms: -1p + p = 0
1.5p = 0

Divide each side by '1.5'.
p = 0

Simplifying
p = 0