p-3(p-1)=2+(2p+5)

Solution for p-3(p-1)=2+(2p+5) equation:

Simplifying
p + -3(p + -1) = 2 + (2p + 5)

Reorder the terms:
p + -3(-1 + p) = 2 + (2p + 5)
p + (-1 * -3 + p * -3) = 2 + (2p + 5)
p + (3 + -3p) = 2 + (2p + 5)

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

Combine like terms: p + -3p = -2p
3 + -2p = 2 + (2p + 5)

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

Remove parenthesis around (5 + 2p)
3 + -2p = 2 + 5 + 2p

Combine like terms: 2 + 5 = 7
3 + -2p = 7 + 2p

Solving
3 + -2p = 7 + 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 + -2p + -2p = 7 + 2p + -2p

Combine like terms: -2p + -2p = -4p
3 + -4p = 7 + 2p + -2p

Combine like terms: 2p + -2p = 0
3 + -4p = 7 + 0
3 + -4p = 7

Add '-3' to each side of the equation.
3 + -3 + -4p = 7 + -3

Combine like terms: 3 + -3 = 0
0 + -4p = 7 + -3
-4p = 7 + -3

Combine like terms: 7 + -3 = 4
-4p = 4

Divide each side by '-4'.
p = -1

Simplifying
p = -1