3(2p+1)=5(p+1)

Solution for 3(2p+1)=5(p+1) equation:

Simplifying
3(2p + 1) = 5(p + 1)

Reorder the terms:
3(1 + 2p) = 5(p + 1)
(1 * 3 + 2p * 3) = 5(p + 1)
(3 + 6p) = 5(p + 1)

Reorder the terms:
3 + 6p = 5(1 + p)
3 + 6p = (1 * 5 + p * 5)
3 + 6p = (5 + 5p)

Solving
3 + 6p = 5 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
3 + 6p + -5p = 5 + 5p + -5p

Combine like terms: 6p + -5p = 1p
3 + 1p = 5 + 5p + -5p

Combine like terms: 5p + -5p = 0
3 + 1p = 5 + 0
3 + 1p = 5

Add '-3' to each side of the equation.
3 + -3 + 1p = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 1p = 5 + -3
1p = 5 + -3

Combine like terms: 5 + -3 = 2
1p = 2

Divide each side by '1'.
p = 2

Simplifying
p = 2