2[5+4(s+3)-3s]+10=5s

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Solution for 2[5+4(s+3)-3s]+10=5s equation:


Simplifying
2[5 + 4(s + 3) + -3s] + 10 = 5s

Reorder the terms:
2[5 + 4(3 + s) + -3s] + 10 = 5s
2[5 + (3 * 4 + s * 4) + -3s] + 10 = 5s
2[5 + (12 + 4s) + -3s] + 10 = 5s

Combine like terms: 5 + 12 = 17
2[17 + 4s + -3s] + 10 = 5s

Combine like terms: 4s + -3s = 1s
2[17 + 1s] + 10 = 5s
[17 * 2 + 1s * 2] + 10 = 5s
[34 + 2s] + 10 = 5s

Reorder the terms:
34 + 10 + 2s = 5s

Combine like terms: 34 + 10 = 44
44 + 2s = 5s

Solving
44 + 2s = 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.
44 + 2s + -5s = 5s + -5s

Combine like terms: 2s + -5s = -3s
44 + -3s = 5s + -5s

Combine like terms: 5s + -5s = 0
44 + -3s = 0

Add '-44' to each side of the equation.
44 + -44 + -3s = 0 + -44

Combine like terms: 44 + -44 = 0
0 + -3s = 0 + -44
-3s = 0 + -44

Combine like terms: 0 + -44 = -44
-3s = -44

Divide each side by '-3'.
s = 14.66666667

Simplifying
s = 14.66666667

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