3p-1=6+2(p-2)

Solution for 3p-1=6+2(p-2) equation:

Simplifying
3p + -1 = 6 + 2(p + -2)

Reorder the terms:
-1 + 3p = 6 + 2(p + -2)

Reorder the terms:
-1 + 3p = 6 + 2(-2 + p)
-1 + 3p = 6 + (-2 * 2 + p * 2)
-1 + 3p = 6 + (-4 + 2p)

Combine like terms: 6 + -4 = 2
-1 + 3p = 2 + 2p

Solving
-1 + 3p = 2 + 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.
-1 + 3p + -2p = 2 + 2p + -2p

Combine like terms: 3p + -2p = 1p
-1 + 1p = 2 + 2p + -2p

Combine like terms: 2p + -2p = 0
-1 + 1p = 2 + 0
-1 + 1p = 2

Add '1' to each side of the equation.
-1 + 1 + 1p = 2 + 1

Combine like terms: -1 + 1 = 0
0 + 1p = 2 + 1
1p = 2 + 1

Combine like terms: 2 + 1 = 3
1p = 3

Divide each side by '1'.
p = 3

Simplifying
p = 3