3p-1=5(p-1)-2(-2p)

Solution for 3p-1=5(p-1)-2(-2p) equation:

Simplifying
3p + -1 = 5(p + -1) + -2(-2p)

Reorder the terms:
-1 + 3p = 5(p + -1) + -2(-2p)

Reorder the terms:
-1 + 3p = 5(-1 + p) + -2(-2p)
-1 + 3p = (-1 * 5 + p * 5) + -2(-2p)
-1 + 3p = (-5 + 5p) + -2(-2p)

Remove parenthesis around (-2p)
-1 + 3p = -5 + 5p + -2 * -2p

Multiply -2 * -2
-1 + 3p = -5 + 5p + 4p

Combine like terms: 5p + 4p = 9p
-1 + 3p = -5 + 9p

Solving
-1 + 3p = -5 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
-1 + 3p + -9p = -5 + 9p + -9p

Combine like terms: 3p + -9p = -6p
-1 + -6p = -5 + 9p + -9p

Combine like terms: 9p + -9p = 0
-1 + -6p = -5 + 0
-1 + -6p = -5

Add '1' to each side of the equation.
-1 + 1 + -6p = -5 + 1

Combine like terms: -1 + 1 = 0
0 + -6p = -5 + 1
-6p = -5 + 1

Combine like terms: -5 + 1 = -4
-6p = -4

Divide each side by '-6'.
p = 0.6666666667

Simplifying
p = 0.6666666667