4(k-3)-8=6k-(5k-3)

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Solution for 4(k-3)-8=6k-(5k-3) equation:


Simplifying
4(k + -3) + -8 = 6k + -1(5k + -3)

Reorder the terms:
4(-3 + k) + -8 = 6k + -1(5k + -3)
(-3 * 4 + k * 4) + -8 = 6k + -1(5k + -3)
(-12 + 4k) + -8 = 6k + -1(5k + -3)

Reorder the terms:
-12 + -8 + 4k = 6k + -1(5k + -3)

Combine like terms: -12 + -8 = -20
-20 + 4k = 6k + -1(5k + -3)

Reorder the terms:
-20 + 4k = 6k + -1(-3 + 5k)
-20 + 4k = 6k + (-3 * -1 + 5k * -1)
-20 + 4k = 6k + (3 + -5k)

Reorder the terms:
-20 + 4k = 3 + 6k + -5k

Combine like terms: 6k + -5k = 1k
-20 + 4k = 3 + 1k

Solving
-20 + 4k = 3 + 1k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
-20 + 4k + -1k = 3 + 1k + -1k

Combine like terms: 4k + -1k = 3k
-20 + 3k = 3 + 1k + -1k

Combine like terms: 1k + -1k = 0
-20 + 3k = 3 + 0
-20 + 3k = 3

Add '20' to each side of the equation.
-20 + 20 + 3k = 3 + 20

Combine like terms: -20 + 20 = 0
0 + 3k = 3 + 20
3k = 3 + 20

Combine like terms: 3 + 20 = 23
3k = 23

Divide each side by '3'.
k = 7.666666667

Simplifying
k = 7.666666667

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