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

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

Simplifying
2(p + 3) = -2(6p + -3)

Reorder the terms:
2(3 + p) = -2(6p + -3)
(3 * 2 + p * 2) = -2(6p + -3)
(6 + 2p) = -2(6p + -3)

Reorder the terms:
6 + 2p = -2(-3 + 6p)
6 + 2p = (-3 * -2 + 6p * -2)
6 + 2p = (6 + -12p)

Add '-6' to each side of the equation.
6 + -6 + 2p = 6 + -6 + -12p

Combine like terms: 6 + -6 = 0
0 + 2p = 6 + -6 + -12p
2p = 6 + -6 + -12p

Combine like terms: 6 + -6 = 0
2p = 0 + -12p
2p = -12p

Solving
2p = -12p

Solving for variable 'p'.

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

Add '12p' to each side of the equation.
2p + 12p = -12p + 12p

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

Combine like terms: -12p + 12p = 0
14p = 0

Divide each side by '14'.
p = 0

Simplifying
p = 0