3k+13=5k+7

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Solution for 3k+13=5k+7 equation:


Simplifying
3k + 13 = 5k + 7

Reorder the terms:
13 + 3k = 5k + 7

Reorder the terms:
13 + 3k = 7 + 5k

Solving
13 + 3k = 7 + 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.
13 + 3k + -5k = 7 + 5k + -5k

Combine like terms: 3k + -5k = -2k
13 + -2k = 7 + 5k + -5k

Combine like terms: 5k + -5k = 0
13 + -2k = 7 + 0
13 + -2k = 7

Add '-13' to each side of the equation.
13 + -13 + -2k = 7 + -13

Combine like terms: 13 + -13 = 0
0 + -2k = 7 + -13
-2k = 7 + -13

Combine like terms: 7 + -13 = -6
-2k = -6

Divide each side by '-2'.
k = 3

Simplifying
k = 3

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