3(p+2)=2-2(5p-2)+12p

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

Simplifying
3(p + 2) = 2 + -2(5p + -2) + 12p

Reorder the terms:
3(2 + p) = 2 + -2(5p + -2) + 12p
(2 * 3 + p * 3) = 2 + -2(5p + -2) + 12p
(6 + 3p) = 2 + -2(5p + -2) + 12p

Reorder the terms:
6 + 3p = 2 + -2(-2 + 5p) + 12p
6 + 3p = 2 + (-2 * -2 + 5p * -2) + 12p
6 + 3p = 2 + (4 + -10p) + 12p

Combine like terms: 2 + 4 = 6
6 + 3p = 6 + -10p + 12p

Combine like terms: -10p + 12p = 2p
6 + 3p = 6 + 2p

Add '-6' to each side of the equation.
6 + -6 + 3p = 6 + -6 + 2p

Combine like terms: 6 + -6 = 0
0 + 3p = 6 + -6 + 2p
3p = 6 + -6 + 2p

Combine like terms: 6 + -6 = 0
3p = 0 + 2p
3p = 2p

Solving
3p = 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.
3p + -2p = 2p + -2p

Combine like terms: 3p + -2p = 1p
1p = 2p + -2p

Combine like terms: 2p + -2p = 0
1p = 0

Divide each side by '1'.
p = 0

Simplifying
p = 0