6(K-1)-(5K-9)=8

Solution for 6(K-1)-(5K-9)=8 equation:

Simplifying
6(K + -1) + -1(5K + -9) = 8

Reorder the terms:
6(-1 + K) + -1(5K + -9) = 8
(-1 * 6 + K * 6) + -1(5K + -9) = 8
(-6 + 6K) + -1(5K + -9) = 8

Reorder the terms:
-6 + 6K + -1(-9 + 5K) = 8
-6 + 6K + (-9 * -1 + 5K * -1) = 8
-6 + 6K + (9 + -5K) = 8

Reorder the terms:
-6 + 9 + 6K + -5K = 8

Combine like terms: -6 + 9 = 3
3 + 6K + -5K = 8

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

Solving
3 + 1K = 8

Solving for variable 'K'.

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

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

Combine like terms: 3 + -3 = 0
0 + 1K = 8 + -3
1K = 8 + -3

Combine like terms: 8 + -3 = 5
1K = 5

Divide each side by '1'.
K = 5

Simplifying
K = 5