2(p+4)+1=5p

Solution for 2(p+4)+1=5p equation:

Simplifying
2(p + 4) + 1 = 5p

Reorder the terms:
2(4 + p) + 1 = 5p
(4 * 2 + p * 2) + 1 = 5p
(8 + 2p) + 1 = 5p

Reorder the terms:
8 + 1 + 2p = 5p

Combine like terms: 8 + 1 = 9
9 + 2p = 5p

Solving
9 + 2p = 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
9 + 2p + -5p = 5p + -5p

Combine like terms: 2p + -5p = -3p
9 + -3p = 5p + -5p

Combine like terms: 5p + -5p = 0
9 + -3p = 0

Add '-9' to each side of the equation.
9 + -9 + -3p = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -3p = 0 + -9
-3p = 0 + -9

Combine like terms: 0 + -9 = -9
-3p = -9

Divide each side by '-3'.
p = 3

Simplifying
p = 3