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

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

Simplifying
2p + -3(2 + 4p) = 2 + -1p + 2
2p + (2 * -3 + 4p * -3) = 2 + -1p + 2
2p + (-6 + -12p) = 2 + -1p + 2

Reorder the terms:
-6 + 2p + -12p = 2 + -1p + 2

Combine like terms: 2p + -12p = -10p
-6 + -10p = 2 + -1p + 2

Reorder the terms:
-6 + -10p = 2 + 2 + -1p

Combine like terms: 2 + 2 = 4
-6 + -10p = 4 + -1p

Solving
-6 + -10p = 4 + -1p

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
-6 + -10p + p = 4 + -1p + p

Combine like terms: -10p + p = -9p
-6 + -9p = 4 + -1p + p

Combine like terms: -1p + p = 0
-6 + -9p = 4 + 0
-6 + -9p = 4

Add '6' to each side of the equation.
-6 + 6 + -9p = 4 + 6

Combine like terms: -6 + 6 = 0
0 + -9p = 4 + 6
-9p = 4 + 6

Combine like terms: 4 + 6 = 10
-9p = 10

Divide each side by '-9'.
p = -1.111111111

Simplifying
p = -1.111111111