-12p-3(5-6p)=2(p-3)-37

Solution for -12p-3(5-6p)=2(p-3)-37 equation:

Simplifying
-12p + -3(5 + -6p) = 2(p + -3) + -37
-12p + (5 * -3 + -6p * -3) = 2(p + -3) + -37
-12p + (-15 + 18p) = 2(p + -3) + -37

Reorder the terms:
-15 + -12p + 18p = 2(p + -3) + -37

Combine like terms: -12p + 18p = 6p
-15 + 6p = 2(p + -3) + -37

Reorder the terms:
-15 + 6p = 2(-3 + p) + -37
-15 + 6p = (-3 * 2 + p * 2) + -37
-15 + 6p = (-6 + 2p) + -37

Reorder the terms:
-15 + 6p = -6 + -37 + 2p

Combine like terms: -6 + -37 = -43
-15 + 6p = -43 + 2p

Solving
-15 + 6p = -43 + 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.
-15 + 6p + -2p = -43 + 2p + -2p

Combine like terms: 6p + -2p = 4p
-15 + 4p = -43 + 2p + -2p

Combine like terms: 2p + -2p = 0
-15 + 4p = -43 + 0
-15 + 4p = -43

Add '15' to each side of the equation.
-15 + 15 + 4p = -43 + 15

Combine like terms: -15 + 15 = 0
0 + 4p = -43 + 15
4p = -43 + 15

Combine like terms: -43 + 15 = -28
4p = -28

Divide each side by '4'.
p = -7

Simplifying
p = -7