2(2p-3)=36-2p

Solution for 2(2p-3)=36-2p equation:

Simplifying
2(2p + -3) = 36 + -2p

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

Solving
-6 + 4p = 36 + -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.
-6 + 4p + 2p = 36 + -2p + 2p

Combine like terms: 4p + 2p = 6p
-6 + 6p = 36 + -2p + 2p

Combine like terms: -2p + 2p = 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 = 42
6p = 42

Divide each side by '6'.
p = 7

Simplifying
p = 7