8(3p-1)-5(3p+2)=3(2p-1)

Solution for 8(3p-1)-5(3p+2)=3(2p-1) equation:

Simplifying
8(3p + -1) + -5(3p + 2) = 3(2p + -1)

Reorder the terms:
8(-1 + 3p) + -5(3p + 2) = 3(2p + -1)
(-1 * 8 + 3p * 8) + -5(3p + 2) = 3(2p + -1)
(-8 + 24p) + -5(3p + 2) = 3(2p + -1)

Reorder the terms:
-8 + 24p + -5(2 + 3p) = 3(2p + -1)
-8 + 24p + (2 * -5 + 3p * -5) = 3(2p + -1)
-8 + 24p + (-10 + -15p) = 3(2p + -1)

Reorder the terms:
-8 + -10 + 24p + -15p = 3(2p + -1)

Combine like terms: -8 + -10 = -18
-18 + 24p + -15p = 3(2p + -1)

Combine like terms: 24p + -15p = 9p
-18 + 9p = 3(2p + -1)

Reorder the terms:
-18 + 9p = 3(-1 + 2p)
-18 + 9p = (-1 * 3 + 2p * 3)
-18 + 9p = (-3 + 6p)

Solving
-18 + 9p = -3 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-18 + 9p + -6p = -3 + 6p + -6p

Combine like terms: 9p + -6p = 3p
-18 + 3p = -3 + 6p + -6p

Combine like terms: 6p + -6p = 0
-18 + 3p = -3 + 0
-18 + 3p = -3

Add '18' to each side of the equation.
-18 + 18 + 3p = -3 + 18

Combine like terms: -18 + 18 = 0
0 + 3p = -3 + 18
3p = -3 + 18

Combine like terms: -3 + 18 = 15
3p = 15

Divide each side by '3'.
p = 5

Simplifying
p = 5