17(s+3)=4(s-10)+13

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Solution for 17(s+3)=4(s-10)+13 equation:


Simplifying
17(s + 3) = 4(s + -10) + 13

Reorder the terms:
17(3 + s) = 4(s + -10) + 13
(3 * 17 + s * 17) = 4(s + -10) + 13
(51 + 17s) = 4(s + -10) + 13

Reorder the terms:
51 + 17s = 4(-10 + s) + 13
51 + 17s = (-10 * 4 + s * 4) + 13
51 + 17s = (-40 + 4s) + 13

Reorder the terms:
51 + 17s = -40 + 13 + 4s

Combine like terms: -40 + 13 = -27
51 + 17s = -27 + 4s

Solving
51 + 17s = -27 + 4s

Solving for variable 's'.

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

Add '-4s' to each side of the equation.
51 + 17s + -4s = -27 + 4s + -4s

Combine like terms: 17s + -4s = 13s
51 + 13s = -27 + 4s + -4s

Combine like terms: 4s + -4s = 0
51 + 13s = -27 + 0
51 + 13s = -27

Add '-51' to each side of the equation.
51 + -51 + 13s = -27 + -51

Combine like terms: 51 + -51 = 0
0 + 13s = -27 + -51
13s = -27 + -51

Combine like terms: -27 + -51 = -78
13s = -78

Divide each side by '13'.
s = -6

Simplifying
s = -6

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