8p=2(3)-3(p-12)

Solution for 8p=2(3)-3(p-12) equation:

Simplifying
8p = 2(3) + -3(p + -12)

Multiply 2 * 3
8p = 6 + -3(p + -12)

Reorder the terms:
8p = 6 + -3(-12 + p)
8p = 6 + (-12 * -3 + p * -3)
8p = 6 + (36 + -3p)

Combine like terms: 6 + 36 = 42
8p = 42 + -3p

Solving
8p = 42 + -3p

Solving for variable 'p'.

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

Add '3p' to each side of the equation.
8p + 3p = 42 + -3p + 3p

Combine like terms: 8p + 3p = 11p
11p = 42 + -3p + 3p

Combine like terms: -3p + 3p = 0
11p = 42 + 0
11p = 42

Divide each side by '11'.
p = 3.818181818

Simplifying
p = 3.818181818