2k+7=5k-1

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Solution for 2k+7=5k-1 equation:


Simplifying
2k + 7 = 5k + -1

Reorder the terms:
7 + 2k = 5k + -1

Reorder the terms:
7 + 2k = -1 + 5k

Solving
7 + 2k = -1 + 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.
7 + 2k + -5k = -1 + 5k + -5k

Combine like terms: 2k + -5k = -3k
7 + -3k = -1 + 5k + -5k

Combine like terms: 5k + -5k = 0
7 + -3k = -1 + 0
7 + -3k = -1

Add '-7' to each side of the equation.
7 + -7 + -3k = -1 + -7

Combine like terms: 7 + -7 = 0
0 + -3k = -1 + -7
-3k = -1 + -7

Combine like terms: -1 + -7 = -8
-3k = -8

Divide each side by '-3'.
k = 2.666666667

Simplifying
k = 2.666666667

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