-8p-(6-5p)=2(18-2p)-12

Solution for -8p-(6-5p)=2(18-2p)-12 equation:

Simplifying
-8p + -1(6 + -5p) = 2(18 + -2p) + -12
-8p + (6 * -1 + -5p * -1) = 2(18 + -2p) + -12
-8p + (-6 + 5p) = 2(18 + -2p) + -12

Reorder the terms:
-6 + -8p + 5p = 2(18 + -2p) + -12

Combine like terms: -8p + 5p = -3p
-6 + -3p = 2(18 + -2p) + -12
-6 + -3p = (18 * 2 + -2p * 2) + -12
-6 + -3p = (36 + -4p) + -12

Reorder the terms:
-6 + -3p = 36 + -12 + -4p

Combine like terms: 36 + -12 = 24
-6 + -3p = 24 + -4p

Solving
-6 + -3p = 24 + -4p

Solving for variable 'p'.

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

Add '4p' to each side of the equation.
-6 + -3p + 4p = 24 + -4p + 4p

Combine like terms: -3p + 4p = 1p
-6 + 1p = 24 + -4p + 4p

Combine like terms: -4p + 4p = 0
-6 + 1p = 24 + 0
-6 + 1p = 24

Add '6' to each side of the equation.
-6 + 6 + 1p = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 1p = 24 + 6
1p = 24 + 6

Combine like terms: 24 + 6 = 30
1p = 30

Divide each side by '1'.
p = 30

Simplifying
p = 30