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

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

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

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

Reorder the terms:
3 + 6s = 5(2 + s)
3 + 6s = (2 * 5 + s * 5)
3 + 6s = (10 + 5s)

Solving
3 + 6s = 10 + 5s

Solving for variable 's'.

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

Add '-5s' to each side of the equation.
3 + 6s + -5s = 10 + 5s + -5s

Combine like terms: 6s + -5s = 1s
3 + 1s = 10 + 5s + -5s

Combine like terms: 5s + -5s = 0
3 + 1s = 10 + 0
3 + 1s = 10

Add '-3' to each side of the equation.
3 + -3 + 1s = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 1s = 10 + -3
1s = 10 + -3

Combine like terms: 10 + -3 = 7
1s = 7

Divide each side by '1'.
s = 7

Simplifying
s = 7