-5p+6=3p-42

Solution for -5p+6=3p-42 equation:

Simplifying
-5p + 6 = 3p + -42

Reorder the terms:
6 + -5p = 3p + -42

Reorder the terms:
6 + -5p = -42 + 3p

Solving
6 + -5p = -42 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
6 + -5p + -3p = -42 + 3p + -3p

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

Combine like terms: 3p + -3p = 0
6 + -8p = -42 + 0
6 + -8p = -42

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

Combine like terms: 6 + -6 = 0
0 + -8p = -42 + -6
-8p = -42 + -6

Combine like terms: -42 + -6 = -48
-8p = -48

Divide each side by '-8'.
p = 6

Simplifying
p = 6