2(p+2)=1.8p-2-0.2(p+5)

Solution for 2(p+2)=1.8p-2-0.2(p+5) equation:

Simplifying
2(p + 2) = 1.8p + -2 + -0.2(p + 5)

Reorder the terms:
2(2 + p) = 1.8p + -2 + -0.2(p + 5)
(2 * 2 + p * 2) = 1.8p + -2 + -0.2(p + 5)
(4 + 2p) = 1.8p + -2 + -0.2(p + 5)

Reorder the terms:
4 + 2p = 1.8p + -2 + -0.2(5 + p)
4 + 2p = 1.8p + -2 + (5 * -0.2 + p * -0.2)
4 + 2p = 1.8p + -2 + (-1 + -0.2p)

Reorder the terms:
4 + 2p = -2 + -1 + 1.8p + -0.2p

Combine like terms: -2 + -1 = -3
4 + 2p = -3 + 1.8p + -0.2p

Combine like terms: 1.8p + -0.2p = 1.6p
4 + 2p = -3 + 1.6p

Solving
4 + 2p = -3 + 1.6p

Solving for variable 'p'.

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

Add '-1.6p' to each side of the equation.
4 + 2p + -1.6p = -3 + 1.6p + -1.6p

Combine like terms: 2p + -1.6p = 0.4p
4 + 0.4p = -3 + 1.6p + -1.6p

Combine like terms: 1.6p + -1.6p = 0.0
4 + 0.4p = -3 + 0.0
4 + 0.4p = -3

Add '-4' to each side of the equation.
4 + -4 + 0.4p = -3 + -4

Combine like terms: 4 + -4 = 0
0 + 0.4p = -3 + -4
0.4p = -3 + -4

Combine like terms: -3 + -4 = -7
0.4p = -7

Divide each side by '0.4'.
p = -17.5

Simplifying
p = -17.5