2(2p+3)+7p=5p+36

Solution for 2(2p+3)+7p=5p+36 equation:

Simplifying
2(2p + 3) + 7p = 5p + 36

Reorder the terms:
2(3 + 2p) + 7p = 5p + 36
(3 * 2 + 2p * 2) + 7p = 5p + 36
(6 + 4p) + 7p = 5p + 36

Combine like terms: 4p + 7p = 11p
6 + 11p = 5p + 36

Reorder the terms:
6 + 11p = 36 + 5p

Solving
6 + 11p = 36 + 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.
6 + 11p + -5p = 36 + 5p + -5p

Combine like terms: 11p + -5p = 6p
6 + 6p = 36 + 5p + -5p

Combine like terms: 5p + -5p = 0
6 + 6p = 36 + 0
6 + 6p = 36

Add '-6' to each side of the equation.
6 + -6 + 6p = 36 + -6

Combine like terms: 6 + -6 = 0
0 + 6p = 36 + -6
6p = 36 + -6

Combine like terms: 36 + -6 = 30
6p = 30

Divide each side by '6'.
p = 5

Simplifying
p = 5