2(s+11)+3=5(s+2)

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Solution for 2(s+11)+3=5(s+2) equation:


Simplifying
2(s + 11) + 3 = 5(s + 2)

Reorder the terms:
2(11 + s) + 3 = 5(s + 2)
(11 * 2 + s * 2) + 3 = 5(s + 2)
(22 + 2s) + 3 = 5(s + 2)

Reorder the terms:
22 + 3 + 2s = 5(s + 2)

Combine like terms: 22 + 3 = 25
25 + 2s = 5(s + 2)

Reorder the terms:
25 + 2s = 5(2 + s)
25 + 2s = (2 * 5 + s * 5)
25 + 2s = (10 + 5s)

Solving
25 + 2s = 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.
25 + 2s + -5s = 10 + 5s + -5s

Combine like terms: 2s + -5s = -3s
25 + -3s = 10 + 5s + -5s

Combine like terms: 5s + -5s = 0
25 + -3s = 10 + 0
25 + -3s = 10

Add '-25' to each side of the equation.
25 + -25 + -3s = 10 + -25

Combine like terms: 25 + -25 = 0
0 + -3s = 10 + -25
-3s = 10 + -25

Combine like terms: 10 + -25 = -15
-3s = -15

Divide each side by '-3'.
s = 5

Simplifying
s = 5

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