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

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

Simplifying
6(1 + p) = 2(1 + 2p)
(1 * 6 + p * 6) = 2(1 + 2p)
(6 + 6p) = 2(1 + 2p)
6 + 6p = (1 * 2 + 2p * 2)
6 + 6p = (2 + 4p)

Solving
6 + 6p = 2 + 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 + 6p + -4p = 2 + 4p + -4p

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

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

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

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

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

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

Simplifying
p = -2