-7p-3(2-5p)=5(p-6)-12

Solution for -7p-3(2-5p)=5(p-6)-12 equation:

Simplifying
-7p + -3(2 + -5p) = 5(p + -6) + -12
-7p + (2 * -3 + -5p * -3) = 5(p + -6) + -12
-7p + (-6 + 15p) = 5(p + -6) + -12

Reorder the terms:
-6 + -7p + 15p = 5(p + -6) + -12

Combine like terms: -7p + 15p = 8p
-6 + 8p = 5(p + -6) + -12

Reorder the terms:
-6 + 8p = 5(-6 + p) + -12
-6 + 8p = (-6 * 5 + p * 5) + -12
-6 + 8p = (-30 + 5p) + -12

Reorder the terms:
-6 + 8p = -30 + -12 + 5p

Combine like terms: -30 + -12 = -42
-6 + 8p = -42 + 5p

Solving
-6 + 8p = -42 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
-6 + 8p + -5p = -42 + 5p + -5p

Combine like terms: 8p + -5p = 3p
-6 + 3p = -42 + 5p + -5p

Combine like terms: 5p + -5p = 0
-6 + 3p = -42 + 0
-6 + 3p = -42

Add '6' to each side of the equation.
-6 + 6 + 3p = -42 + 6

Combine like terms: -6 + 6 = 0
0 + 3p = -42 + 6
3p = -42 + 6

Combine like terms: -42 + 6 = -36
3p = -36

Divide each side by '3'.
p = -12

Simplifying
p = -12