5(X+1)-3(X-S)=17

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Solution for 5(X+1)-3(X-S)=17 equation: 


Simplifying
5(X + 1) + -3(X + -1S) = 17

Reorder the terms:
5(1 + X) + -3(X + -1S) = 17
(1 * 5 + X * 5) + -3(X + -1S) = 17
(5 + 5X) + -3(X + -1S) = 17

Reorder the terms:
5 + 5X + -3(-1S + X) = 17
5 + 5X + (-1S * -3 + X * -3) = 17
5 + 5X + (3S + -3X) = 17

Reorder the terms:
5 + 3S + 5X + -3X = 17

Combine like terms: 5X + -3X = 2X
5 + 3S + 2X = 17

Solving
5 + 3S + 2X = 17

Solving for variable 'S'.

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

Add '-5' to each side of the equation.
5 + 3S + -5 + 2X = 17 + -5

Reorder the terms:
5 + -5 + 3S + 2X = 17 + -5

Combine like terms: 5 + -5 = 0
0 + 3S + 2X = 17 + -5
3S + 2X = 17 + -5

Combine like terms: 17 + -5 = 12
3S + 2X = 12

Add '-2X' to each side of the equation.
3S + 2X + -2X = 12 + -2X

Combine like terms: 2X + -2X = 0
3S + 0 = 12 + -2X
3S = 12 + -2X

Divide each side by '3'.
S = 4 + -0.6666666667X

Simplifying
S = 4 + -0.6666666667X

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