2(p+3)+3(p-4)=19

Solution for 2(p+3)+3(p-4)=19 equation:

Simplifying
2(p + 3) + 3(p + -4) = 19

Reorder the terms:
2(3 + p) + 3(p + -4) = 19
(3 * 2 + p * 2) + 3(p + -4) = 19
(6 + 2p) + 3(p + -4) = 19

Reorder the terms:
6 + 2p + 3(-4 + p) = 19
6 + 2p + (-4 * 3 + p * 3) = 19
6 + 2p + (-12 + 3p) = 19

Reorder the terms:
6 + -12 + 2p + 3p = 19

Combine like terms: 6 + -12 = -6
-6 + 2p + 3p = 19

Combine like terms: 2p + 3p = 5p
-6 + 5p = 19

Solving
-6 + 5p = 19

Solving for variable 'p'.

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

Add '6' to each side of the equation.
-6 + 6 + 5p = 19 + 6

Combine like terms: -6 + 6 = 0
0 + 5p = 19 + 6
5p = 19 + 6

Combine like terms: 19 + 6 = 25
5p = 25

Divide each side by '5'.
p = 5

Simplifying
p = 5