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

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

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

Reorder the terms:
3(6 + 4p) + -12(p + -2) = p + 2(p + -6)
(6 * 3 + 4p * 3) + -12(p + -2) = p + 2(p + -6)
(18 + 12p) + -12(p + -2) = p + 2(p + -6)

Reorder the terms:
18 + 12p + -12(-2 + p) = p + 2(p + -6)
18 + 12p + (-2 * -12 + p * -12) = p + 2(p + -6)
18 + 12p + (24 + -12p) = p + 2(p + -6)

Reorder the terms:
18 + 24 + 12p + -12p = p + 2(p + -6)

Combine like terms: 18 + 24 = 42
42 + 12p + -12p = p + 2(p + -6)

Combine like terms: 12p + -12p = 0
42 + 0 = p + 2(p + -6)
42 = p + 2(p + -6)

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

Reorder the terms:
42 = -12 + p + 2p

Combine like terms: p + 2p = 3p
42 = -12 + 3p

Solving
42 = -12 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
42 + -3p = -12 + 3p + -3p

Combine like terms: 3p + -3p = 0
42 + -3p = -12 + 0
42 + -3p = -12

Add '-42' to each side of the equation.
42 + -42 + -3p = -12 + -42

Combine like terms: 42 + -42 = 0
0 + -3p = -12 + -42
-3p = -12 + -42

Combine like terms: -12 + -42 = -54
-3p = -54

Divide each side by '-3'.
p = 18

Simplifying
p = 18