6-3(4k+1)=5+(10-8k)

Solution for 6-3(4k+1)=5+(10-8k) equation:

Simplifying
6 + -3(4k + 1) = 5 + (10 + -8k)

Reorder the terms:
6 + -3(1 + 4k) = 5 + (10 + -8k)
6 + (1 * -3 + 4k * -3) = 5 + (10 + -8k)
6 + (-3 + -12k) = 5 + (10 + -8k)

Combine like terms: 6 + -3 = 3
3 + -12k = 5 + (10 + -8k)

Remove parenthesis around (10 + -8k)
3 + -12k = 5 + 10 + -8k

Combine like terms: 5 + 10 = 15
3 + -12k = 15 + -8k

Solving
3 + -12k = 15 + -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.
3 + -12k + 8k = 15 + -8k + 8k

Combine like terms: -12k + 8k = -4k
3 + -4k = 15 + -8k + 8k

Combine like terms: -8k + 8k = 0
3 + -4k = 15 + 0
3 + -4k = 15

Add '-3' to each side of the equation.
3 + -3 + -4k = 15 + -3

Combine like terms: 3 + -3 = 0
0 + -4k = 15 + -3
-4k = 15 + -3

Combine like terms: 15 + -3 = 12
-4k = 12

Divide each side by '-4'.
k = -3

Simplifying
k = -3