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

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

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

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

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

Combine like terms: 3p + -2p = 1p
4 + 6p = 6 + 1p

Solving
4 + 6p = 6 + 1p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
4 + 6p + -1p = 6 + 1p + -1p

Combine like terms: 6p + -1p = 5p
4 + 5p = 6 + 1p + -1p

Combine like terms: 1p + -1p = 0
4 + 5p = 6 + 0
4 + 5p = 6

Add '-4' to each side of the equation.
4 + -4 + 5p = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 5p = 6 + -4
5p = 6 + -4

Combine like terms: 6 + -4 = 2
5p = 2

Divide each side by '5'.
p = 0.4

Simplifying
p = 0.4