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

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

Simplifying
5 + -2(3 + -1p) = 2(2p + 5) + 1
5 + (3 * -2 + -1p * -2) = 2(2p + 5) + 1
5 + (-6 + 2p) = 2(2p + 5) + 1

Combine like terms: 5 + -6 = -1
-1 + 2p = 2(2p + 5) + 1

Reorder the terms:
-1 + 2p = 2(5 + 2p) + 1
-1 + 2p = (5 * 2 + 2p * 2) + 1
-1 + 2p = (10 + 4p) + 1

Reorder the terms:
-1 + 2p = 10 + 1 + 4p

Combine like terms: 10 + 1 = 11
-1 + 2p = 11 + 4p

Solving
-1 + 2p = 11 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-1 + 2p + -4p = 11 + 4p + -4p

Combine like terms: 2p + -4p = -2p
-1 + -2p = 11 + 4p + -4p

Combine like terms: 4p + -4p = 0
-1 + -2p = 11 + 0
-1 + -2p = 11

Add '1' to each side of the equation.
-1 + 1 + -2p = 11 + 1

Combine like terms: -1 + 1 = 0
0 + -2p = 11 + 1
-2p = 11 + 1

Combine like terms: 11 + 1 = 12
-2p = 12

Divide each side by '-2'.
p = -6

Simplifying
p = -6