5p+6=4(3p-5)+6(-6+4p)

Solution for 5p+6=4(3p-5)+6(-6+4p) equation:

Simplifying
5p + 6 = 4(3p + -5) + 6(-6 + 4p)

Reorder the terms:
6 + 5p = 4(3p + -5) + 6(-6 + 4p)

Reorder the terms:
6 + 5p = 4(-5 + 3p) + 6(-6 + 4p)
6 + 5p = (-5 * 4 + 3p * 4) + 6(-6 + 4p)
6 + 5p = (-20 + 12p) + 6(-6 + 4p)
6 + 5p = -20 + 12p + (-6 * 6 + 4p * 6)
6 + 5p = -20 + 12p + (-36 + 24p)

Reorder the terms:
6 + 5p = -20 + -36 + 12p + 24p

Combine like terms: -20 + -36 = -56
6 + 5p = -56 + 12p + 24p

Combine like terms: 12p + 24p = 36p
6 + 5p = -56 + 36p

Solving
6 + 5p = -56 + 36p

Solving for variable 'p'.

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

Add '-36p' to each side of the equation.
6 + 5p + -36p = -56 + 36p + -36p

Combine like terms: 5p + -36p = -31p
6 + -31p = -56 + 36p + -36p

Combine like terms: 36p + -36p = 0
6 + -31p = -56 + 0
6 + -31p = -56

Add '-6' to each side of the equation.
6 + -6 + -31p = -56 + -6

Combine like terms: 6 + -6 = 0
0 + -31p = -56 + -6
-31p = -56 + -6

Combine like terms: -56 + -6 = -62
-31p = -62

Divide each side by '-31'.
p = 2

Simplifying
p = 2