2-3(4-x)=S(2-x)+4x

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Solution for 2-3(4-x)=S(2-x)+4x equation:


Simplifying
2 + -3(4 + -1x) = S(2 + -1x) + 4x
2 + (4 * -3 + -1x * -3) = S(2 + -1x) + 4x
2 + (-12 + 3x) = S(2 + -1x) + 4x

Combine like terms: 2 + -12 = -10
-10 + 3x = S(2 + -1x) + 4x
-10 + 3x = (2 * S + -1x * S) + 4x
-10 + 3x = (2S + -1xS) + 4x

Reorder the terms:
-10 + 3x = 2S + 4x + -1xS

Solving
-10 + 3x = 2S + 4x + -1xS

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-10 + 3x + -4x = 2S + 4x + -4x + -1xS

Combine like terms: 3x + -4x = -1x
-10 + -1x = 2S + 4x + -4x + -1xS

Combine like terms: 4x + -4x = 0
-10 + -1x = 2S + 0 + -1xS
-10 + -1x = 2S + -1xS

Add 'xS' to each side of the equation.
-10 + -1x + xS = 2S + -1xS + xS

Combine like terms: -1xS + xS = 0
-10 + -1x + xS = 2S + 0
-10 + -1x + xS = 2S

Add '10' to each side of the equation.
-10 + -1x + 10 + xS = 10 + 2S

Reorder the terms:
-10 + 10 + -1x + xS = 10 + 2S

Combine like terms: -10 + 10 = 0
0 + -1x + xS = 10 + 2S
-1x + xS = 10 + 2S

Reorder the terms:
-10 + -2S + -1x + xS = 10 + 2S + -10 + -2S

Reorder the terms:
-10 + -2S + -1x + xS = 10 + -10 + 2S + -2S

Combine like terms: 10 + -10 = 0
-10 + -2S + -1x + xS = 0 + 2S + -2S
-10 + -2S + -1x + xS = 2S + -2S

Combine like terms: 2S + -2S = 0
-10 + -2S + -1x + xS = 0

The solution to this equation could not be determined.

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