2p-3(2-2p)=3(p-5)-31

Solution for 2p-3(2-2p)=3(p-5)-31 equation:

Simplifying
2p + -3(2 + -2p) = 3(p + -5) + -31
2p + (2 * -3 + -2p * -3) = 3(p + -5) + -31
2p + (-6 + 6p) = 3(p + -5) + -31

Reorder the terms:
-6 + 2p + 6p = 3(p + -5) + -31

Combine like terms: 2p + 6p = 8p
-6 + 8p = 3(p + -5) + -31

Reorder the terms:
-6 + 8p = 3(-5 + p) + -31
-6 + 8p = (-5 * 3 + p * 3) + -31
-6 + 8p = (-15 + 3p) + -31

Reorder the terms:
-6 + 8p = -15 + -31 + 3p

Combine like terms: -15 + -31 = -46
-6 + 8p = -46 + 3p

Solving
-6 + 8p = -46 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
-6 + 8p + -3p = -46 + 3p + -3p

Combine like terms: 8p + -3p = 5p
-6 + 5p = -46 + 3p + -3p

Combine like terms: 3p + -3p = 0
-6 + 5p = -46 + 0
-6 + 5p = -46

Add '6' to each side of the equation.
-6 + 6 + 5p = -46 + 6

Combine like terms: -6 + 6 = 0
0 + 5p = -46 + 6
5p = -46 + 6

Combine like terms: -46 + 6 = -40
5p = -40

Divide each side by '5'.
p = -8

Simplifying
p = -8