3k-10=10-4k+8

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Solution for 3k-10=10-4k+8 equation:


Simplifying
3k + -10 = 10 + -4k + 8

Reorder the terms:
-10 + 3k = 10 + -4k + 8

Reorder the terms:
-10 + 3k = 10 + 8 + -4k

Combine like terms: 10 + 8 = 18
-10 + 3k = 18 + -4k

Solving
-10 + 3k = 18 + -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 + 3k + 4k = 18 + -4k + 4k

Combine like terms: 3k + 4k = 7k
-10 + 7k = 18 + -4k + 4k

Combine like terms: -4k + 4k = 0
-10 + 7k = 18 + 0
-10 + 7k = 18

Add '10' to each side of the equation.
-10 + 10 + 7k = 18 + 10

Combine like terms: -10 + 10 = 0
0 + 7k = 18 + 10
7k = 18 + 10

Combine like terms: 18 + 10 = 28
7k = 28

Divide each side by '7'.
k = 4

Simplifying
k = 4

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