3p+6=3(4-p)

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

Simplifying
3p + 6 = 3(4 + -1p)

Reorder the terms:
6 + 3p = 3(4 + -1p)
6 + 3p = (4 * 3 + -1p * 3)
6 + 3p = (12 + -3p)

Solving
6 + 3p = 12 + -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.
6 + 3p + 3p = 12 + -3p + 3p

Combine like terms: 3p + 3p = 6p
6 + 6p = 12 + -3p + 3p

Combine like terms: -3p + 3p = 0
6 + 6p = 12 + 0
6 + 6p = 12

Add '-6' to each side of the equation.
6 + -6 + 6p = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 6p = 12 + -6
6p = 12 + -6

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

Divide each side by '6'.
p = 1

Simplifying
p = 1