5(p+3)-6(p-4)=30

Solution for 5(p+3)-6(p-4)=30 equation:

Simplifying
5(p + 3) + -6(p + -4) = 30

Reorder the terms:
5(3 + p) + -6(p + -4) = 30
(3 * 5 + p * 5) + -6(p + -4) = 30
(15 + 5p) + -6(p + -4) = 30

Reorder the terms:
15 + 5p + -6(-4 + p) = 30
15 + 5p + (-4 * -6 + p * -6) = 30
15 + 5p + (24 + -6p) = 30

Reorder the terms:
15 + 24 + 5p + -6p = 30

Combine like terms: 15 + 24 = 39
39 + 5p + -6p = 30

Combine like terms: 5p + -6p = -1p
39 + -1p = 30

Solving
39 + -1p = 30

Solving for variable 'p'.

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

Add '-39' to each side of the equation.
39 + -39 + -1p = 30 + -39

Combine like terms: 39 + -39 = 0
0 + -1p = 30 + -39
-1p = 30 + -39

Combine like terms: 30 + -39 = -9
-1p = -9

Divide each side by '-1'.
p = 9

Simplifying
p = 9