6-5p=2(2p-8)+4

Solution for 6-5p=2(2p-8)+4 equation:

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

Reorder the terms:
6 + -5p = 2(-8 + 2p) + 4
6 + -5p = (-8 * 2 + 2p * 2) + 4
6 + -5p = (-16 + 4p) + 4

Reorder the terms:
6 + -5p = -16 + 4 + 4p

Combine like terms: -16 + 4 = -12
6 + -5p = -12 + 4p

Solving
6 + -5p = -12 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
6 + -5p + -4p = -12 + 4p + -4p

Combine like terms: -5p + -4p = -9p
6 + -9p = -12 + 4p + -4p

Combine like terms: 4p + -4p = 0
6 + -9p = -12 + 0
6 + -9p = -12

Add '-6' to each side of the equation.
6 + -6 + -9p = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -9p = -12 + -6
-9p = -12 + -6

Combine like terms: -12 + -6 = -18
-9p = -18

Divide each side by '-9'.
p = 2

Simplifying
p = 2