2p-2(3-2p)=2(p-6)-14

Solution for 2p-2(3-2p)=2(p-6)-14 equation:

Simplifying
2p + -2(3 + -2p) = 2(p + -6) + -14
2p + (3 * -2 + -2p * -2) = 2(p + -6) + -14
2p + (-6 + 4p) = 2(p + -6) + -14

Reorder the terms:
-6 + 2p + 4p = 2(p + -6) + -14

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

Reorder the terms:
-6 + 6p = 2(-6 + p) + -14
-6 + 6p = (-6 * 2 + p * 2) + -14
-6 + 6p = (-12 + 2p) + -14

Reorder the terms:
-6 + 6p = -12 + -14 + 2p

Combine like terms: -12 + -14 = -26
-6 + 6p = -26 + 2p

Solving
-6 + 6p = -26 + 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 + 6p + -2p = -26 + 2p + -2p

Combine like terms: 6p + -2p = 4p
-6 + 4p = -26 + 2p + -2p

Combine like terms: 2p + -2p = 0
-6 + 4p = -26 + 0
-6 + 4p = -26

Add '6' to each side of the equation.
-6 + 6 + 4p = -26 + 6

Combine like terms: -6 + 6 = 0
0 + 4p = -26 + 6
4p = -26 + 6

Combine like terms: -26 + 6 = -20
4p = -20

Divide each side by '4'.
p = -5

Simplifying
p = -5