5k-10=3k-20

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Solution for 5k-10=3k-20 equation:


Simplifying
5k + -10 = 3k + -20

Reorder the terms:
-10 + 5k = 3k + -20

Reorder the terms:
-10 + 5k = -20 + 3k

Solving
-10 + 5k = -20 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
-10 + 5k + -3k = -20 + 3k + -3k

Combine like terms: 5k + -3k = 2k
-10 + 2k = -20 + 3k + -3k

Combine like terms: 3k + -3k = 0
-10 + 2k = -20 + 0
-10 + 2k = -20

Add '10' to each side of the equation.
-10 + 10 + 2k = -20 + 10

Combine like terms: -10 + 10 = 0
0 + 2k = -20 + 10
2k = -20 + 10

Combine like terms: -20 + 10 = -10
2k = -10

Divide each side by '2'.
k = -5

Simplifying
k = -5

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