.3(6p+12)-(p-5)=

Solution for .3(6p+12)-(p-5)= equation:

Simplifying
0.3(6p + 12) + -1(p + -5) = 0

Reorder the terms:
0.3(12 + 6p) + -1(p + -5) = 0
(12 * 0.3 + 6p * 0.3) + -1(p + -5) = 0
(3.6 + 1.8p) + -1(p + -5) = 0

Reorder the terms:
3.6 + 1.8p + -1(-5 + p) = 0
3.6 + 1.8p + (-5 * -1 + p * -1) = 0
3.6 + 1.8p + (5 + -1p) = 0

Reorder the terms:
3.6 + 5 + 1.8p + -1p = 0

Combine like terms: 3.6 + 5 = 8.6
8.6 + 1.8p + -1p = 0

Combine like terms: 1.8p + -1p = 0.8p
8.6 + 0.8p = 0

Solving
8.6 + 0.8p = 0

Solving for variable 'p'.

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

Add '-8.6' to each side of the equation.
8.6 + -8.6 + 0.8p = 0 + -8.6

Combine like terms: 8.6 + -8.6 = 0.0
0.0 + 0.8p = 0 + -8.6
0.8p = 0 + -8.6

Combine like terms: 0 + -8.6 = -8.6
0.8p = -8.6

Divide each side by '0.8'.
p = -10.75

Simplifying
p = -10.75