5(k-3)-5=4k-(3k-2)

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Solution for 5(k-3)-5=4k-(3k-2) equation:


Simplifying
5(k + -3) + -5 = 4k + -1(3k + -2)

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

Reorder the terms:
-15 + -5 + 5k = 4k + -1(3k + -2)

Combine like terms: -15 + -5 = -20
-20 + 5k = 4k + -1(3k + -2)

Reorder the terms:
-20 + 5k = 4k + -1(-2 + 3k)
-20 + 5k = 4k + (-2 * -1 + 3k * -1)
-20 + 5k = 4k + (2 + -3k)

Reorder the terms:
-20 + 5k = 2 + 4k + -3k

Combine like terms: 4k + -3k = 1k
-20 + 5k = 2 + 1k

Solving
-20 + 5k = 2 + 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 + 5k + -1k = 2 + 1k + -1k

Combine like terms: 5k + -1k = 4k
-20 + 4k = 2 + 1k + -1k

Combine like terms: 1k + -1k = 0
-20 + 4k = 2 + 0
-20 + 4k = 2

Add '20' to each side of the equation.
-20 + 20 + 4k = 2 + 20

Combine like terms: -20 + 20 = 0
0 + 4k = 2 + 20
4k = 2 + 20

Combine like terms: 2 + 20 = 22
4k = 22

Divide each side by '4'.
k = 5.5

Simplifying
k = 5.5

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