12-2(p+3)=24+4(3p+6)

Solution for 12-2(p+3)=24+4(3p+6) equation:

Simplifying
12 + -2(p + 3) = 24 + 4(3p + 6)

Reorder the terms:
12 + -2(3 + p) = 24 + 4(3p + 6)
12 + (3 * -2 + p * -2) = 24 + 4(3p + 6)
12 + (-6 + -2p) = 24 + 4(3p + 6)

Combine like terms: 12 + -6 = 6
6 + -2p = 24 + 4(3p + 6)

Reorder the terms:
6 + -2p = 24 + 4(6 + 3p)
6 + -2p = 24 + (6 * 4 + 3p * 4)
6 + -2p = 24 + (24 + 12p)

Combine like terms: 24 + 24 = 48
6 + -2p = 48 + 12p

Solving
6 + -2p = 48 + 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.
6 + -2p + -12p = 48 + 12p + -12p

Combine like terms: -2p + -12p = -14p
6 + -14p = 48 + 12p + -12p

Combine like terms: 12p + -12p = 0
6 + -14p = 48 + 0
6 + -14p = 48

Add '-6' to each side of the equation.
6 + -6 + -14p = 48 + -6

Combine like terms: 6 + -6 = 0
0 + -14p = 48 + -6
-14p = 48 + -6

Combine like terms: 48 + -6 = 42
-14p = 42

Divide each side by '-14'.
p = -3

Simplifying
p = -3