k-3(4k-2)=7k+5-3k

Solution for k-3(4k-2)=7k+5-3k equation:

Simplifying
k + -3(4k + -2) = 7k + 5 + -3k

Reorder the terms:
k + -3(-2 + 4k) = 7k + 5 + -3k
k + (-2 * -3 + 4k * -3) = 7k + 5 + -3k
k + (6 + -12k) = 7k + 5 + -3k

Reorder the terms:
6 + k + -12k = 7k + 5 + -3k

Combine like terms: k + -12k = -11k
6 + -11k = 7k + 5 + -3k

Reorder the terms:
6 + -11k = 5 + 7k + -3k

Combine like terms: 7k + -3k = 4k
6 + -11k = 5 + 4k

Solving
6 + -11k = 5 + 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
6 + -11k + -4k = 5 + 4k + -4k

Combine like terms: -11k + -4k = -15k
6 + -15k = 5 + 4k + -4k

Combine like terms: 4k + -4k = 0
6 + -15k = 5 + 0
6 + -15k = 5

Add '-6' to each side of the equation.
6 + -6 + -15k = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -15k = 5 + -6
-15k = 5 + -6

Combine like terms: 5 + -6 = -1
-15k = -1

Divide each side by '-15'.
k = 0.06666666667

Simplifying
k = 0.06666666667