6(p-7)-4p=2(2p-8)

Solution for 6(p-7)-4p=2(2p-8) equation:

Simplifying
6(p + -7) + -4p = 2(2p + -8)

Reorder the terms:
6(-7 + p) + -4p = 2(2p + -8)
(-7 * 6 + p * 6) + -4p = 2(2p + -8)
(-42 + 6p) + -4p = 2(2p + -8)

Combine like terms: 6p + -4p = 2p
-42 + 2p = 2(2p + -8)

Reorder the terms:
-42 + 2p = 2(-8 + 2p)
-42 + 2p = (-8 * 2 + 2p * 2)
-42 + 2p = (-16 + 4p)

Solving
-42 + 2p = -16 + 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.
-42 + 2p + -4p = -16 + 4p + -4p

Combine like terms: 2p + -4p = -2p
-42 + -2p = -16 + 4p + -4p

Combine like terms: 4p + -4p = 0
-42 + -2p = -16 + 0
-42 + -2p = -16

Add '42' to each side of the equation.
-42 + 42 + -2p = -16 + 42

Combine like terms: -42 + 42 = 0
0 + -2p = -16 + 42
-2p = -16 + 42

Combine like terms: -16 + 42 = 26
-2p = 26

Divide each side by '-2'.
p = -13

Simplifying
p = -13