5k+10k=9(k-4)+7(k+2)

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Solution for 5k+10k=9(k-4)+7(k+2) equation:


Simplifying
5k + 10k = 9(k + -4) + 7(k + 2)

Combine like terms: 5k + 10k = 15k
15k = 9(k + -4) + 7(k + 2)

Reorder the terms:
15k = 9(-4 + k) + 7(k + 2)
15k = (-4 * 9 + k * 9) + 7(k + 2)
15k = (-36 + 9k) + 7(k + 2)

Reorder the terms:
15k = -36 + 9k + 7(2 + k)
15k = -36 + 9k + (2 * 7 + k * 7)
15k = -36 + 9k + (14 + 7k)

Reorder the terms:
15k = -36 + 14 + 9k + 7k

Combine like terms: -36 + 14 = -22
15k = -22 + 9k + 7k

Combine like terms: 9k + 7k = 16k
15k = -22 + 16k

Solving
15k = -22 + 16k

Solving for variable 'k'.

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

Add '-16k' to each side of the equation.
15k + -16k = -22 + 16k + -16k

Combine like terms: 15k + -16k = -1k
-1k = -22 + 16k + -16k

Combine like terms: 16k + -16k = 0
-1k = -22 + 0
-1k = -22

Divide each side by '-1'.
k = 22

Simplifying
k = 22

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