2(p+6)=3p-1

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

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

Reorder the terms:
2(6 + p) = 3p + -1
(6 * 2 + p * 2) = 3p + -1
(12 + 2p) = 3p + -1

Reorder the terms:
12 + 2p = -1 + 3p

Solving
12 + 2p = -1 + 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.
12 + 2p + -3p = -1 + 3p + -3p

Combine like terms: 2p + -3p = -1p
12 + -1p = -1 + 3p + -3p

Combine like terms: 3p + -3p = 0
12 + -1p = -1 + 0
12 + -1p = -1

Add '-12' to each side of the equation.
12 + -12 + -1p = -1 + -12

Combine like terms: 12 + -12 = 0
0 + -1p = -1 + -12
-1p = -1 + -12

Combine like terms: -1 + -12 = -13
-1p = -13

Divide each side by '-1'.
p = 13

Simplifying
p = 13