5k+6=3k+7

Solution for 5k+6=3k+7 equation:

Simplifying
5k + 6 = 3k + 7

Reorder the terms:
6 + 5k = 3k + 7

Reorder the terms:
6 + 5k = 7 + 3k

Solving
6 + 5k = 7 + 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.
6 + 5k + -3k = 7 + 3k + -3k

Combine like terms: 5k + -3k = 2k
6 + 2k = 7 + 3k + -3k

Combine like terms: 3k + -3k = 0
6 + 2k = 7 + 0
6 + 2k = 7

Add '-6' to each side of the equation.
6 + -6 + 2k = 7 + -6

Combine like terms: 6 + -6 = 0
0 + 2k = 7 + -6
2k = 7 + -6

Combine like terms: 7 + -6 = 1
2k = 1

Divide each side by '2'.
k = 0.5

Simplifying
k = 0.5