(H-3)x-(2k+6)=0

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Solution for (H-3)x-(2k+6)=0 equation:


Simplifying
(H + -3) * x + -1(2k + 6) = 0

Reorder the terms:
(-3 + H) * x + -1(2k + 6) = 0

Reorder the terms for easier multiplication:
x(-3 + H) + -1(2k + 6) = 0
(-3 * x + H * x) + -1(2k + 6) = 0
(-3x + xH) + -1(2k + 6) = 0

Reorder the terms:
-3x + xH + -1(6 + 2k) = 0
-3x + xH + (6 * -1 + 2k * -1) = 0
-3x + xH + (-6 + -2k) = 0

Reorder the terms:
-6 + -2k + -3x + xH = 0

Solving
-6 + -2k + -3x + xH = 0

Solving for variable 'k'.

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

Add '6' to each side of the equation.
-6 + -2k + -3x + 6 + xH = 0 + 6

Reorder the terms:
-6 + 6 + -2k + -3x + xH = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -2k + -3x + xH = 0 + 6
-2k + -3x + xH = 0 + 6

Combine like terms: 0 + 6 = 6
-2k + -3x + xH = 6

Add '3x' to each side of the equation.
-2k + -3x + 3x + xH = 6 + 3x

Combine like terms: -3x + 3x = 0
-2k + 0 + xH = 6 + 3x
-2k + xH = 6 + 3x

Add '-1xH' to each side of the equation.
-2k + xH + -1xH = 6 + 3x + -1xH

Combine like terms: xH + -1xH = 0
-2k + 0 = 6 + 3x + -1xH
-2k = 6 + 3x + -1xH

Divide each side by '-2'.
k = -3 + -1.5x + 0.5xH

Simplifying
k = -3 + -1.5x + 0.5xH

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