3.6(2p+4)=3(2-3p)

Solution for 3.6(2p+4)=3(2-3p) equation:

Simplifying
3.6(2p + 4) = 3(2 + -3p)

Reorder the terms:
3.6(4 + 2p) = 3(2 + -3p)
(4 * 3.6 + 2p * 3.6) = 3(2 + -3p)
(14.4 + 7.2p) = 3(2 + -3p)
14.4 + 7.2p = (2 * 3 + -3p * 3)
14.4 + 7.2p = (6 + -9p)

Solving
14.4 + 7.2p = 6 + -9p

Solving for variable 'p'.

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

Add '9p' to each side of the equation.
14.4 + 7.2p + 9p = 6 + -9p + 9p

Combine like terms: 7.2p + 9p = 16.2p
14.4 + 16.2p = 6 + -9p + 9p

Combine like terms: -9p + 9p = 0
14.4 + 16.2p = 6 + 0
14.4 + 16.2p = 6

Add '-14.4' to each side of the equation.
14.4 + -14.4 + 16.2p = 6 + -14.4

Combine like terms: 14.4 + -14.4 = 0.0
0.0 + 16.2p = 6 + -14.4
16.2p = 6 + -14.4

Combine like terms: 6 + -14.4 = -8.4
16.2p = -8.4

Divide each side by '16.2'.
p = -0.5185185185

Simplifying
p = -0.5185185185