2(p+3)=4p-6

Solution for 2(p+3)=4p-6 equation:

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

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

Reorder the terms:
6 + 2p = -6 + 4p

Solving
6 + 2p = -6 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
6 + 2p + -4p = -6 + 4p + -4p

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

Combine like terms: 4p + -4p = 0
6 + -2p = -6 + 0
6 + -2p = -6

Add '-6' to each side of the equation.
6 + -6 + -2p = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -2p = -6 + -6
-2p = -6 + -6

Combine like terms: -6 + -6 = -12
-2p = -12

Divide each side by '-2'.
p = 6

Simplifying
p = 6