9(k-1)-(5+3k)=5k

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Solution for 9(k-1)-(5+3k)=5k equation:


Simplifying
9(k + -1) + -1(5 + 3k) = 5k

Reorder the terms:
9(-1 + k) + -1(5 + 3k) = 5k
(-1 * 9 + k * 9) + -1(5 + 3k) = 5k
(-9 + 9k) + -1(5 + 3k) = 5k
-9 + 9k + (5 * -1 + 3k * -1) = 5k
-9 + 9k + (-5 + -3k) = 5k

Reorder the terms:
-9 + -5 + 9k + -3k = 5k

Combine like terms: -9 + -5 = -14
-14 + 9k + -3k = 5k

Combine like terms: 9k + -3k = 6k
-14 + 6k = 5k

Solving
-14 + 6k = 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
-14 + 6k + -5k = 5k + -5k

Combine like terms: 6k + -5k = 1k
-14 + 1k = 5k + -5k

Combine like terms: 5k + -5k = 0
-14 + 1k = 0

Add '14' to each side of the equation.
-14 + 14 + 1k = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 1k = 0 + 14
1k = 0 + 14

Combine like terms: 0 + 14 = 14
1k = 14

Divide each side by '1'.
k = 14

Simplifying
k = 14

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