3(p-1)+6=2(2p-1)-2p

Solution for 3(p-1)+6=2(2p-1)-2p equation:

Simplifying
3(p + -1) + 6 = 2(2p + -1) + -2p

Reorder the terms:
3(-1 + p) + 6 = 2(2p + -1) + -2p
(-1 * 3 + p * 3) + 6 = 2(2p + -1) + -2p
(-3 + 3p) + 6 = 2(2p + -1) + -2p

Reorder the terms:
-3 + 6 + 3p = 2(2p + -1) + -2p

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

Reorder the terms:
3 + 3p = 2(-1 + 2p) + -2p
3 + 3p = (-1 * 2 + 2p * 2) + -2p
3 + 3p = (-2 + 4p) + -2p

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

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

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

Combine like terms: 2p + -2p = 0
3 + 1p = -2 + 0
3 + 1p = -2

Add '-3' to each side of the equation.
3 + -3 + 1p = -2 + -3

Combine like terms: 3 + -3 = 0
0 + 1p = -2 + -3
1p = -2 + -3

Combine like terms: -2 + -3 = -5
1p = -5

Divide each side by '1'.
p = -5

Simplifying
p = -5