2(4-p)-(-3)(p-2)=-(2p-1)

Solution for 2(4-p)-(-3)(p-2)=-(2p-1) equation:

Simplifying
2(4 + -1p) + -1(-3)(p + -2) = -1(2p + -1)
(4 * 2 + -1p * 2) + -1(-3)(p + -2) = -1(2p + -1)
(8 + -2p) + -1(-3)(p + -2) = -1(2p + -1)

Reorder the terms:
8 + -2p + -1 * -3(-2 + p) = -1(2p + -1)

Multiply -1 * -3
8 + -2p + 3(-2 + p) = -1(2p + -1)
8 + -2p + (-2 * 3 + p * 3) = -1(2p + -1)
8 + -2p + (-6 + 3p) = -1(2p + -1)

Reorder the terms:
8 + -6 + -2p + 3p = -1(2p + -1)

Combine like terms: 8 + -6 = 2
2 + -2p + 3p = -1(2p + -1)

Combine like terms: -2p + 3p = 1p
2 + 1p = -1(2p + -1)

Reorder the terms:
2 + 1p = -1(-1 + 2p)
2 + 1p = (-1 * -1 + 2p * -1)
2 + 1p = (1 + -2p)

Solving
2 + 1p = 1 + -2p

Solving for variable 'p'.

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

Add '2p' to each side of the equation.
2 + 1p + 2p = 1 + -2p + 2p

Combine like terms: 1p + 2p = 3p
2 + 3p = 1 + -2p + 2p

Combine like terms: -2p + 2p = 0
2 + 3p = 1 + 0
2 + 3p = 1

Add '-2' to each side of the equation.
2 + -2 + 3p = 1 + -2

Combine like terms: 2 + -2 = 0
0 + 3p = 1 + -2
3p = 1 + -2

Combine like terms: 1 + -2 = -1
3p = -1

Divide each side by '3'.
p = -0.3333333333

Simplifying
p = -0.3333333333