5(k-2)=4k-5

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


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

Reorder the terms:
5(-2 + k) = 4k + -5
(-2 * 5 + k * 5) = 4k + -5
(-10 + 5k) = 4k + -5

Reorder the terms:
-10 + 5k = -5 + 4k

Solving
-10 + 5k = -5 + 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
-10 + 5k + -4k = -5 + 4k + -4k

Combine like terms: 5k + -4k = 1k
-10 + 1k = -5 + 4k + -4k

Combine like terms: 4k + -4k = 0
-10 + 1k = -5 + 0
-10 + 1k = -5

Add '10' to each side of the equation.
-10 + 10 + 1k = -5 + 10

Combine like terms: -10 + 10 = 0
0 + 1k = -5 + 10
1k = -5 + 10

Combine like terms: -5 + 10 = 5
1k = 5

Divide each side by '1'.
k = 5

Simplifying
k = 5

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