-10(12k+10)+8k=3k+5(-10k+6)

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Solution for -10(12k+10)+8k=3k+5(-10k+6) equation:


Simplifying
-10(12k + 10) + 8k = 3k + 5(-10k + 6)

Reorder the terms:
-10(10 + 12k) + 8k = 3k + 5(-10k + 6)
(10 * -10 + 12k * -10) + 8k = 3k + 5(-10k + 6)
(-100 + -120k) + 8k = 3k + 5(-10k + 6)

Combine like terms: -120k + 8k = -112k
-100 + -112k = 3k + 5(-10k + 6)

Reorder the terms:
-100 + -112k = 3k + 5(6 + -10k)
-100 + -112k = 3k + (6 * 5 + -10k * 5)
-100 + -112k = 3k + (30 + -50k)

Reorder the terms:
-100 + -112k = 30 + 3k + -50k

Combine like terms: 3k + -50k = -47k
-100 + -112k = 30 + -47k

Solving
-100 + -112k = 30 + -47k

Solving for variable 'k'.

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

Add '47k' to each side of the equation.
-100 + -112k + 47k = 30 + -47k + 47k

Combine like terms: -112k + 47k = -65k
-100 + -65k = 30 + -47k + 47k

Combine like terms: -47k + 47k = 0
-100 + -65k = 30 + 0
-100 + -65k = 30

Add '100' to each side of the equation.
-100 + 100 + -65k = 30 + 100

Combine like terms: -100 + 100 = 0
0 + -65k = 30 + 100
-65k = 30 + 100

Combine like terms: 30 + 100 = 130
-65k = 130

Divide each side by '-65'.
k = -2

Simplifying
k = -2

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