3(2+p)=2(5+p)

Solution for 3(2+p)=2(5+p) equation:

Simplifying
3(2 + p) = 2(5 + p)
(2 * 3 + p * 3) = 2(5 + p)
(6 + 3p) = 2(5 + p)
6 + 3p = (5 * 2 + p * 2)
6 + 3p = (10 + 2p)

Solving
6 + 3p = 10 + 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.
6 + 3p + -2p = 10 + 2p + -2p

Combine like terms: 3p + -2p = 1p
6 + 1p = 10 + 2p + -2p

Combine like terms: 2p + -2p = 0
6 + 1p = 10 + 0
6 + 1p = 10

Add '-6' to each side of the equation.
6 + -6 + 1p = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 1p = 10 + -6
1p = 10 + -6

Combine like terms: 10 + -6 = 4
1p = 4

Divide each side by '1'.
p = 4

Simplifying
p = 4