6(p+.4)=5(p-1.2)

Solution for 6(p+.4)=5(p-1.2) equation:

Simplifying
6(p + 0.4) = 5(p + -1.2)

Reorder the terms:
6(0.4 + p) = 5(p + -1.2)
(0.4 * 6 + p * 6) = 5(p + -1.2)
(2.4 + 6p) = 5(p + -1.2)

Reorder the terms:
2.4 + 6p = 5(-1.2 + p)
2.4 + 6p = (-1.2 * 5 + p * 5)
2.4 + 6p = (-6 + 5p)

Solving
2.4 + 6p = -6 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
2.4 + 6p + -5p = -6 + 5p + -5p

Combine like terms: 6p + -5p = 1p
2.4 + 1p = -6 + 5p + -5p

Combine like terms: 5p + -5p = 0
2.4 + 1p = -6 + 0
2.4 + 1p = -6

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 1p = -6 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 1p = -6 + -2.4
1p = -6 + -2.4

Combine like terms: -6 + -2.4 = -8.4
1p = -8.4

Divide each side by '1'.
p = -8.4

Simplifying
p = -8.4