6(5k-8)-20=-3(5-9x)+2

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Solution for 6(5k-8)-20=-3(5-9x)+2 equation:


Simplifying
6(5k + -8) + -20 = -3(5 + -9x) + 2

Reorder the terms:
6(-8 + 5k) + -20 = -3(5 + -9x) + 2
(-8 * 6 + 5k * 6) + -20 = -3(5 + -9x) + 2
(-48 + 30k) + -20 = -3(5 + -9x) + 2

Reorder the terms:
-48 + -20 + 30k = -3(5 + -9x) + 2

Combine like terms: -48 + -20 = -68
-68 + 30k = -3(5 + -9x) + 2
-68 + 30k = (5 * -3 + -9x * -3) + 2
-68 + 30k = (-15 + 27x) + 2

Reorder the terms:
-68 + 30k = -15 + 2 + 27x

Combine like terms: -15 + 2 = -13
-68 + 30k = -13 + 27x

Solving
-68 + 30k = -13 + 27x

Solving for variable 'k'.

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

Add '68' to each side of the equation.
-68 + 68 + 30k = -13 + 68 + 27x

Combine like terms: -68 + 68 = 0
0 + 30k = -13 + 68 + 27x
30k = -13 + 68 + 27x

Combine like terms: -13 + 68 = 55
30k = 55 + 27x

Divide each side by '30'.
k = 1.833333333 + 0.9x

Simplifying
k = 1.833333333 + 0.9x

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