4(p-6)-8p=3(2-3p)

Solution for 4(p-6)-8p=3(2-3p) equation:

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

Reorder the terms:
4(-6 + p) + -8p = 3(2 + -3p)
(-6 * 4 + p * 4) + -8p = 3(2 + -3p)
(-24 + 4p) + -8p = 3(2 + -3p)

Combine like terms: 4p + -8p = -4p
-24 + -4p = 3(2 + -3p)
-24 + -4p = (2 * 3 + -3p * 3)
-24 + -4p = (6 + -9p)

Solving
-24 + -4p = 6 + -9p

Solving for variable 'p'.

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

Add '9p' to each side of the equation.
-24 + -4p + 9p = 6 + -9p + 9p

Combine like terms: -4p + 9p = 5p
-24 + 5p = 6 + -9p + 9p

Combine like terms: -9p + 9p = 0
-24 + 5p = 6 + 0
-24 + 5p = 6

Add '24' to each side of the equation.
-24 + 24 + 5p = 6 + 24

Combine like terms: -24 + 24 = 0
0 + 5p = 6 + 24
5p = 6 + 24

Combine like terms: 6 + 24 = 30
5p = 30

Divide each side by '5'.
p = 6

Simplifying
p = 6