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

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


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

Reorder the terms:
5(3 + s) = 3(s + 2) + 1
(3 * 5 + s * 5) = 3(s + 2) + 1
(15 + 5s) = 3(s + 2) + 1

Reorder the terms:
15 + 5s = 3(2 + s) + 1
15 + 5s = (2 * 3 + s * 3) + 1
15 + 5s = (6 + 3s) + 1

Reorder the terms:
15 + 5s = 6 + 1 + 3s

Combine like terms: 6 + 1 = 7
15 + 5s = 7 + 3s

Solving
15 + 5s = 7 + 3s

Solving for variable 's'.

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

Add '-3s' to each side of the equation.
15 + 5s + -3s = 7 + 3s + -3s

Combine like terms: 5s + -3s = 2s
15 + 2s = 7 + 3s + -3s

Combine like terms: 3s + -3s = 0
15 + 2s = 7 + 0
15 + 2s = 7

Add '-15' to each side of the equation.
15 + -15 + 2s = 7 + -15

Combine like terms: 15 + -15 = 0
0 + 2s = 7 + -15
2s = 7 + -15

Combine like terms: 7 + -15 = -8
2s = -8

Divide each side by '2'.
s = -4

Simplifying
s = -4

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