3(X+1)-(S-1)*2=10-(5-3S)

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Solution for 3(X+1)-(S-1)*2=10-(5-3S) equation: 


Simplifying
3(X + 1) + -1(S + -1) * 2 = 10 + -1(5 + -3S)

Reorder the terms:
3(1 + X) + -1(S + -1) * 2 = 10 + -1(5 + -3S)
(1 * 3 + X * 3) + -1(S + -1) * 2 = 10 + -1(5 + -3S)
(3 + 3X) + -1(S + -1) * 2 = 10 + -1(5 + -3S)

Reorder the terms:
3 + 3X + -1(-1 + S) * 2 = 10 + -1(5 + -3S)

Reorder the terms for easier multiplication:
3 + 3X + -1 * 2(-1 + S) = 10 + -1(5 + -3S)

Multiply -1 * 2
3 + 3X + -2(-1 + S) = 10 + -1(5 + -3S)
3 + 3X + (-1 * -2 + S * -2) = 10 + -1(5 + -3S)
3 + 3X + (2 + -2S) = 10 + -1(5 + -3S)

Reorder the terms:
3 + 2 + -2S + 3X = 10 + -1(5 + -3S)

Combine like terms: 3 + 2 = 5
5 + -2S + 3X = 10 + -1(5 + -3S)
5 + -2S + 3X = 10 + (5 * -1 + -3S * -1)
5 + -2S + 3X = 10 + (-5 + 3S)

Combine like terms: 10 + -5 = 5
5 + -2S + 3X = 5 + 3S

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

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

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

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

Solving
-2S + 3X = 3S

Solving for variable 'S'.

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

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

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

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

Add '-3X' to each side of the equation.
-5S + 3X + -3X = 0 + -3X

Combine like terms: 3X + -3X = 0
-5S + 0 = 0 + -3X
-5S = 0 + -3X
Remove the zero:
-5S = -3X

Divide each side by '-5'.
S = 0.6X

Simplifying
S = 0.6X

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