(13k+10x)+(-8x-9k)=12k

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Solution for (13k+10x)+(-8x-9k)=12k equation: 


Simplifying
(13k + 10x) + (-8x + -9k) = 12k

Remove parenthesis around (13k + 10x)
13k + 10x + (-8x + -9k) = 12k

Reorder the terms:
13k + 10x + (-9k + -8x) = 12k

Remove parenthesis around (-9k + -8x)
13k + 10x + -9k + -8x = 12k

Reorder the terms:
13k + -9k + 10x + -8x = 12k

Combine like terms: 13k + -9k = 4k
4k + 10x + -8x = 12k

Combine like terms: 10x + -8x = 2x
4k + 2x = 12k

Solving
4k + 2x = 12k

Solving for variable 'k'.

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

Add '-12k' to each side of the equation.
4k + -12k + 2x = 12k + -12k

Combine like terms: 4k + -12k = -8k
-8k + 2x = 12k + -12k

Combine like terms: 12k + -12k = 0
-8k + 2x = 0

Add '-2x' to each side of the equation.
-8k + 2x + -2x = 0 + -2x

Combine like terms: 2x + -2x = 0
-8k + 0 = 0 + -2x
-8k = 0 + -2x
Remove the zero:
-8k = -2x

Divide each side by '-8'.
k = 0.25x

Simplifying
k = 0.25x

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