2[p-(3p+7)+4]=2(p+3)

Solution for 2[p-(3p+7)+4]=2(p+3) equation:

Simplifying
2[p + -1(3p + 7) + 4] = 2(p + 3)

Reorder the terms:
2[p + -1(7 + 3p) + 4] = 2(p + 3)
2[p + (7 * -1 + 3p * -1) + 4] = 2(p + 3)
2[p + (-7 + -3p) + 4] = 2(p + 3)

Reorder the terms:
2[-7 + 4 + p + -3p] = 2(p + 3)

Combine like terms: -7 + 4 = -3
2[-3 + p + -3p] = 2(p + 3)

Combine like terms: p + -3p = -2p
2[-3 + -2p] = 2(p + 3)
[-3 * 2 + -2p * 2] = 2(p + 3)
[-6 + -4p] = 2(p + 3)

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

Solving
-6 + -4p = 6 + 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.
-6 + -4p + -2p = 6 + 2p + -2p

Combine like terms: -4p + -2p = -6p
-6 + -6p = 6 + 2p + -2p

Combine like terms: 2p + -2p = 0
-6 + -6p = 6 + 0
-6 + -6p = 6

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

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

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

Divide each side by '-6'.
p = -2

Simplifying
p = -2