p+(p-3)=(p+4)-(p+1)

Solution for p+(p-3)=(p+4)-(p+1) equation:

Simplifying
p + (p + -3) = (p + 4) + -1(p + 1)

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

Remove parenthesis around (-3 + p)
p + -3 + p = (p + 4) + -1(p + 1)

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

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

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

Remove parenthesis around (4 + p)
-3 + 2p = 4 + p + -1(p + 1)

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

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

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

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

Solving
-3 + 2p = 3

Solving for variable 'p'.

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

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

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

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

Divide each side by '2'.
p = 3

Simplifying
p = 3