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

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

Simplifying
4(2 + -3p) + -2 = 3(4p + -2)
(2 * 4 + -3p * 4) + -2 = 3(4p + -2)
(8 + -12p) + -2 = 3(4p + -2)

Reorder the terms:
8 + -2 + -12p = 3(4p + -2)

Combine like terms: 8 + -2 = 6
6 + -12p = 3(4p + -2)

Reorder the terms:
6 + -12p = 3(-2 + 4p)
6 + -12p = (-2 * 3 + 4p * 3)
6 + -12p = (-6 + 12p)

Solving
6 + -12p = -6 + 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 + -12p + -12p = -6 + 12p + -12p

Combine like terms: -12p + -12p = -24p
6 + -24p = -6 + 12p + -12p

Combine like terms: 12p + -12p = 0
6 + -24p = -6 + 0
6 + -24p = -6

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

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

Combine like terms: -6 + -6 = -12
-24p = -12

Divide each side by '-24'.
p = 0.5

Simplifying
p = 0.5