-2p-2(3-6p)=5(p-2)-21

Solution for -2p-2(3-6p)=5(p-2)-21 equation:

Simplifying
-2p + -2(3 + -6p) = 5(p + -2) + -21
-2p + (3 * -2 + -6p * -2) = 5(p + -2) + -21
-2p + (-6 + 12p) = 5(p + -2) + -21

Reorder the terms:
-6 + -2p + 12p = 5(p + -2) + -21

Combine like terms: -2p + 12p = 10p
-6 + 10p = 5(p + -2) + -21

Reorder the terms:
-6 + 10p = 5(-2 + p) + -21
-6 + 10p = (-2 * 5 + p * 5) + -21
-6 + 10p = (-10 + 5p) + -21

Reorder the terms:
-6 + 10p = -10 + -21 + 5p

Combine like terms: -10 + -21 = -31
-6 + 10p = -31 + 5p

Solving
-6 + 10p = -31 + 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 + 10p + -5p = -31 + 5p + -5p

Combine like terms: 10p + -5p = 5p
-6 + 5p = -31 + 5p + -5p

Combine like terms: 5p + -5p = 0
-6 + 5p = -31 + 0
-6 + 5p = -31

Add '6' to each side of the equation.
-6 + 6 + 5p = -31 + 6

Combine like terms: -6 + 6 = 0
0 + 5p = -31 + 6
5p = -31 + 6

Combine like terms: -31 + 6 = -25
5p = -25

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

Simplifying
p = -5