-8p-3(2-6p)=5(p-5)-21

Solution for -8p-3(2-6p)=5(p-5)-21 equation:

Simplifying
-8p + -3(2 + -6p) = 5(p + -5) + -21
-8p + (2 * -3 + -6p * -3) = 5(p + -5) + -21
-8p + (-6 + 18p) = 5(p + -5) + -21

Reorder the terms:
-6 + -8p + 18p = 5(p + -5) + -21

Combine like terms: -8p + 18p = 10p
-6 + 10p = 5(p + -5) + -21

Reorder the terms:
-6 + 10p = 5(-5 + p) + -21
-6 + 10p = (-5 * 5 + p * 5) + -21
-6 + 10p = (-25 + 5p) + -21

Reorder the terms:
-6 + 10p = -25 + -21 + 5p

Combine like terms: -25 + -21 = -46
-6 + 10p = -46 + 5p

Solving
-6 + 10p = -46 + 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 = -46 + 5p + -5p

Combine like terms: 10p + -5p = 5p
-6 + 5p = -46 + 5p + -5p

Combine like terms: 5p + -5p = 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