-x-(13+4k)=-3(5-9x)+2

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Solution for -x-(13+4k)=-3(5-9x)+2 equation:


Simplifying
-1x + -1(13 + 4k) = -3(5 + -9x) + 2
-1x + (13 * -1 + 4k * -1) = -3(5 + -9x) + 2
-1x + (-13 + -4k) = -3(5 + -9x) + 2

Reorder the terms:
-13 + -4k + -1x = -3(5 + -9x) + 2
-13 + -4k + -1x = (5 * -3 + -9x * -3) + 2
-13 + -4k + -1x = (-15 + 27x) + 2

Reorder the terms:
-13 + -4k + -1x = -15 + 2 + 27x

Combine like terms: -15 + 2 = -13
-13 + -4k + -1x = -13 + 27x

Add '13' to each side of the equation.
-13 + -4k + 13 + -1x = -13 + 13 + 27x

Reorder the terms:
-13 + 13 + -4k + -1x = -13 + 13 + 27x

Combine like terms: -13 + 13 = 0
0 + -4k + -1x = -13 + 13 + 27x
-4k + -1x = -13 + 13 + 27x

Combine like terms: -13 + 13 = 0
-4k + -1x = 0 + 27x
-4k + -1x = 27x

Solving
-4k + -1x = 27x

Solving for variable 'k'.

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

Add 'x' to each side of the equation.
-4k + -1x + x = 27x + x

Combine like terms: -1x + x = 0
-4k + 0 = 27x + x
-4k = 27x + x

Combine like terms: 27x + x = 28x
-4k = 28x

Divide each side by '-4'.
k = -7x

Simplifying
k = -7x

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