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

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

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

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

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

Solving
3 + 6a = 5 + 5p

Solving for variable 'a'.

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

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

Combine like terms: 3 + -3 = 0
0 + 6a = 5 + -3 + 5p
6a = 5 + -3 + 5p

Combine like terms: 5 + -3 = 2
6a = 2 + 5p

Divide each side by '6'.
a = 0.3333333333 + 0.8333333333p

Simplifying
a = 0.3333333333 + 0.8333333333p