3(2+4p)-5(3+p)=5

Solution for 3(2+4p)-5(3+p)=5 equation:

Simplifying
3(2 + 4p) + -5(3 + p) = 5
(2 * 3 + 4p * 3) + -5(3 + p) = 5
(6 + 12p) + -5(3 + p) = 5
6 + 12p + (3 * -5 + p * -5) = 5
6 + 12p + (-15 + -5p) = 5

Reorder the terms:
6 + -15 + 12p + -5p = 5

Combine like terms: 6 + -15 = -9
-9 + 12p + -5p = 5

Combine like terms: 12p + -5p = 7p
-9 + 7p = 5

Solving
-9 + 7p = 5

Solving for variable 'p'.

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

Add '9' to each side of the equation.
-9 + 9 + 7p = 5 + 9

Combine like terms: -9 + 9 = 0
0 + 7p = 5 + 9
7p = 5 + 9

Combine like terms: 5 + 9 = 14
7p = 14

Divide each side by '7'.
p = 2

Simplifying
p = 2