-8p-3(2-4p)=2(p-2)-10

Solution for -8p-3(2-4p)=2(p-2)-10 equation:

Simplifying
-8p + -3(2 + -4p) = 2(p + -2) + -10
-8p + (2 * -3 + -4p * -3) = 2(p + -2) + -10
-8p + (-6 + 12p) = 2(p + -2) + -10

Reorder the terms:
-6 + -8p + 12p = 2(p + -2) + -10

Combine like terms: -8p + 12p = 4p
-6 + 4p = 2(p + -2) + -10

Reorder the terms:
-6 + 4p = 2(-2 + p) + -10
-6 + 4p = (-2 * 2 + p * 2) + -10
-6 + 4p = (-4 + 2p) + -10

Reorder the terms:
-6 + 4p = -4 + -10 + 2p

Combine like terms: -4 + -10 = -14
-6 + 4p = -14 + 2p

Solving
-6 + 4p = -14 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
-6 + 4p + -2p = -14 + 2p + -2p

Combine like terms: 4p + -2p = 2p
-6 + 2p = -14 + 2p + -2p

Combine like terms: 2p + -2p = 0
-6 + 2p = -14 + 0
-6 + 2p = -14

Add '6' to each side of the equation.
-6 + 6 + 2p = -14 + 6

Combine like terms: -6 + 6 = 0
0 + 2p = -14 + 6
2p = -14 + 6

Combine like terms: -14 + 6 = -8
2p = -8

Divide each side by '2'.
p = -4

Simplifying
p = -4