2p-2(3-4p)=6(p-5)-12

Solution for 2p-2(3-4p)=6(p-5)-12 equation:

Simplifying
2p + -2(3 + -4p) = 6(p + -5) + -12
2p + (3 * -2 + -4p * -2) = 6(p + -5) + -12
2p + (-6 + 8p) = 6(p + -5) + -12

Reorder the terms:
-6 + 2p + 8p = 6(p + -5) + -12

Combine like terms: 2p + 8p = 10p
-6 + 10p = 6(p + -5) + -12

Reorder the terms:
-6 + 10p = 6(-5 + p) + -12
-6 + 10p = (-5 * 6 + p * 6) + -12
-6 + 10p = (-30 + 6p) + -12

Reorder the terms:
-6 + 10p = -30 + -12 + 6p

Combine like terms: -30 + -12 = -42
-6 + 10p = -42 + 6p

Solving
-6 + 10p = -42 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-6 + 10p + -6p = -42 + 6p + -6p

Combine like terms: 10p + -6p = 4p
-6 + 4p = -42 + 6p + -6p

Combine like terms: 6p + -6p = 0
-6 + 4p = -42 + 0
-6 + 4p = -42

Add '6' to each side of the equation.
-6 + 6 + 4p = -42 + 6

Combine like terms: -6 + 6 = 0
0 + 4p = -42 + 6
4p = -42 + 6

Combine like terms: -42 + 6 = -36
4p = -36

Divide each side by '4'.
p = -9

Simplifying
p = -9