2p-3(2-2p)=5(p-4)-28

Solution for 2p-3(2-2p)=5(p-4)-28 equation:

Simplifying
2p + -3(2 + -2p) = 5(p + -4) + -28
2p + (2 * -3 + -2p * -3) = 5(p + -4) + -28
2p + (-6 + 6p) = 5(p + -4) + -28

Reorder the terms:
-6 + 2p + 6p = 5(p + -4) + -28

Combine like terms: 2p + 6p = 8p
-6 + 8p = 5(p + -4) + -28

Reorder the terms:
-6 + 8p = 5(-4 + p) + -28
-6 + 8p = (-4 * 5 + p * 5) + -28
-6 + 8p = (-20 + 5p) + -28

Reorder the terms:
-6 + 8p = -20 + -28 + 5p

Combine like terms: -20 + -28 = -48
-6 + 8p = -48 + 5p

Solving
-6 + 8p = -48 + 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.
-6 + 8p + -5p = -48 + 5p + -5p

Combine like terms: 8p + -5p = 3p
-6 + 3p = -48 + 5p + -5p

Combine like terms: 5p + -5p = 0
-6 + 3p = -48 + 0
-6 + 3p = -48

Add '6' to each side of the equation.
-6 + 6 + 3p = -48 + 6

Combine like terms: -6 + 6 = 0
0 + 3p = -48 + 6
3p = -48 + 6

Combine like terms: -48 + 6 = -42
3p = -42

Divide each side by '3'.
p = -14

Simplifying
p = -14