5k+6-2k=8k+1

Solution for 5k+6-2k=8k+1 equation:

Simplifying
5k + 6 + -2k = 8k + 1

Reorder the terms:
6 + 5k + -2k = 8k + 1

Combine like terms: 5k + -2k = 3k
6 + 3k = 8k + 1

Reorder the terms:
6 + 3k = 1 + 8k

Solving
6 + 3k = 1 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
6 + 3k + -8k = 1 + 8k + -8k

Combine like terms: 3k + -8k = -5k
6 + -5k = 1 + 8k + -8k

Combine like terms: 8k + -8k = 0
6 + -5k = 1 + 0
6 + -5k = 1

Add '-6' to each side of the equation.
6 + -6 + -5k = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -5k = 1 + -6
-5k = 1 + -6

Combine like terms: 1 + -6 = -5
-5k = -5

Divide each side by '-5'.
k = 1

Simplifying
k = 1