3(2p-1)+2(p+1)=39

Solution for 3(2p-1)+2(p+1)=39 equation:

Simplifying
3(2p + -1) + 2(p + 1) = 39

Reorder the terms:
3(-1 + 2p) + 2(p + 1) = 39
(-1 * 3 + 2p * 3) + 2(p + 1) = 39
(-3 + 6p) + 2(p + 1) = 39

Reorder the terms:
-3 + 6p + 2(1 + p) = 39
-3 + 6p + (1 * 2 + p * 2) = 39
-3 + 6p + (2 + 2p) = 39

Reorder the terms:
-3 + 2 + 6p + 2p = 39

Combine like terms: -3 + 2 = -1
-1 + 6p + 2p = 39

Combine like terms: 6p + 2p = 8p
-1 + 8p = 39

Solving
-1 + 8p = 39

Solving for variable 'p'.

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

Add '1' to each side of the equation.
-1 + 1 + 8p = 39 + 1

Combine like terms: -1 + 1 = 0
0 + 8p = 39 + 1
8p = 39 + 1

Combine like terms: 39 + 1 = 40
8p = 40

Divide each side by '8'.
p = 5

Simplifying
p = 5