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

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

Simplifying
2(3 + 4p) = 5(p + -3)
(3 * 2 + 4p * 2) = 5(p + -3)
(6 + 8p) = 5(p + -3)

Reorder the terms:
6 + 8p = 5(-3 + p)
6 + 8p = (-3 * 5 + p * 5)
6 + 8p = (-15 + 5p)

Solving
6 + 8p = -15 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
6 + 8p + -5p = -15 + 5p + -5p

Combine like terms: 8p + -5p = 3p
6 + 3p = -15 + 5p + -5p

Combine like terms: 5p + -5p = 0
6 + 3p = -15 + 0
6 + 3p = -15

Add '-6' to each side of the equation.
6 + -6 + 3p = -15 + -6

Combine like terms: 6 + -6 = 0
0 + 3p = -15 + -6
3p = -15 + -6

Combine like terms: -15 + -6 = -21
3p = -21

Divide each side by '3'.
p = -7

Simplifying
p = -7