2s+3(5-2s)=47

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Solution for 2s+3(5-2s)=47 equation: 


Simplifying
2s + 3(5 + -2s) = 47
2s + (5 * 3 + -2s * 3) = 47
2s + (15 + -6s) = 47

Reorder the terms:
15 + 2s + -6s = 47

Combine like terms: 2s + -6s = -4s
15 + -4s = 47

Solving
15 + -4s = 47

Solving for variable 's'.

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

Add '-15' to each side of the equation.
15 + -15 + -4s = 47 + -15

Combine like terms: 15 + -15 = 0
0 + -4s = 47 + -15
-4s = 47 + -15

Combine like terms: 47 + -15 = 32
-4s = 32

Divide each side by '-4'.
s = -8

Simplifying
s = -8

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