5k+4-2k+6=5k-10

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Solution for 5k+4-2k+6=5k-10 equation:


Simplifying
5k + 4 + -2k + 6 = 5k + -10

Reorder the terms:
4 + 6 + 5k + -2k = 5k + -10

Combine like terms: 4 + 6 = 10
10 + 5k + -2k = 5k + -10

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

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

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

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

Combine like terms: 5k + -5k = 0
10 + -2k = -10 + 0
10 + -2k = -10

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

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

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

Divide each side by '-2'.
k = 10

Simplifying
k = 10

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