1=5+3p-p

Solution for 1=5+3p-p equation:

Simplifying
1 = 5 + 3p + -1p

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

Solving
1 = 5 + 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.
1 + -2p = 5 + 2p + -2p

Combine like terms: 2p + -2p = 0
1 + -2p = 5 + 0
1 + -2p = 5

Add '-1' to each side of the equation.
1 + -1 + -2p = 5 + -1

Combine like terms: 1 + -1 = 0
0 + -2p = 5 + -1
-2p = 5 + -1

Combine like terms: 5 + -1 = 4
-2p = 4

Divide each side by '-2'.
p = -2

Simplifying
p = -2