-2p-3(2-4p)=5(p-6)-21

Solution for -2p-3(2-4p)=5(p-6)-21 equation:

Simplifying
-2p + -3(2 + -4p) = 5(p + -6) + -21
-2p + (2 * -3 + -4p * -3) = 5(p + -6) + -21
-2p + (-6 + 12p) = 5(p + -6) + -21

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

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

Reorder the terms:
-6 + 10p = 5(-6 + p) + -21
-6 + 10p = (-6 * 5 + p * 5) + -21
-6 + 10p = (-30 + 5p) + -21

Reorder the terms:
-6 + 10p = -30 + -21 + 5p

Combine like terms: -30 + -21 = -51
-6 + 10p = -51 + 5p

Solving
-6 + 10p = -51 + 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 = -51 + 5p + -5p

Combine like terms: 10p + -5p = 5p
-6 + 5p = -51 + 5p + -5p

Combine like terms: 5p + -5p = 0
-6 + 5p = -51 + 0
-6 + 5p = -51

Add '6' to each side of the equation.
-6 + 6 + 5p = -51 + 6

Combine like terms: -6 + 6 = 0
0 + 5p = -51 + 6
5p = -51 + 6

Combine like terms: -51 + 6 = -45
5p = -45

Divide each side by '5'.
p = -9

Simplifying
p = -9