(X+2)(x+k)=2+3x

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Solution for (X+2)(x+k)=2+3x equation: 


Simplifying
(X + 2)(x + k) = 2 + 3x

Reorder the terms:
(2 + X)(x + k) = 2 + 3x

Reorder the terms:
(2 + X)(k + x) = 2 + 3x

Multiply (2 + X) * (k + x)
(2(k + x) + X(k + x)) = 2 + 3x
((k * 2 + x * 2) + X(k + x)) = 2 + 3x
((2k + 2x) + X(k + x)) = 2 + 3x
(2k + 2x + (k * X + x * X)) = 2 + 3x
(2k + 2x + (kX + xX)) = 2 + 3x

Reorder the terms:
(2k + kX + 2x + xX) = 2 + 3x
(2k + kX + 2x + xX) = 2 + 3x

Solving
2k + kX + 2x + xX = 2 + 3x

Solving for variable 'k'.

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

Add '-2x' to each side of the equation.
2k + kX + 2x + -2x + xX = 2 + 3x + -2x

Combine like terms: 2x + -2x = 0
2k + kX + 0 + xX = 2 + 3x + -2x
2k + kX + xX = 2 + 3x + -2x

Combine like terms: 3x + -2x = 1x
2k + kX + xX = 2 + 1x

Add '-1xX' to each side of the equation.
2k + kX + xX + -1xX = 2 + 1x + -1xX

Combine like terms: xX + -1xX = 0
2k + kX + 0 = 2 + 1x + -1xX
2k + kX = 2 + 1x + -1xX

Reorder the terms:
-2 + 2k + kX + -1x + xX = 2 + 1x + -1xX + -2 + -1x + xX

Reorder the terms:
-2 + 2k + kX + -1x + xX = 2 + -2 + 1x + -1x + -1xX + xX

Combine like terms: 2 + -2 = 0
-2 + 2k + kX + -1x + xX = 0 + 1x + -1x + -1xX + xX
-2 + 2k + kX + -1x + xX = 1x + -1x + -1xX + xX

Combine like terms: 1x + -1x = 0
-2 + 2k + kX + -1x + xX = 0 + -1xX + xX
-2 + 2k + kX + -1x + xX = -1xX + xX

Combine like terms: -1xX + xX = 0
-2 + 2k + kX + -1x + xX = 0

The solution to this equation could not be determined.

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