3(2p-2)+4p=-4(3p-4)

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

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

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

Combine like terms: 6p + 4p = 10p
-6 + 10p = -4(3p + -4)

Reorder the terms:
-6 + 10p = -4(-4 + 3p)
-6 + 10p = (-4 * -4 + 3p * -4)
-6 + 10p = (16 + -12p)

Solving
-6 + 10p = 16 + -12p

Solving for variable 'p'.

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

Add '12p' to each side of the equation.
-6 + 10p + 12p = 16 + -12p + 12p

Combine like terms: 10p + 12p = 22p
-6 + 22p = 16 + -12p + 12p

Combine like terms: -12p + 12p = 0
-6 + 22p = 16 + 0
-6 + 22p = 16

Add '6' to each side of the equation.
-6 + 6 + 22p = 16 + 6

Combine like terms: -6 + 6 = 0
0 + 22p = 16 + 6
22p = 16 + 6

Combine like terms: 16 + 6 = 22
22p = 22

Divide each side by '22'.
p = 1

Simplifying
p = 1