-2(k-3)=-(1-5k)

Solution for -2(k-3)=-(1-5k) equation:

Simplifying
-2(k + -3) = -1(1 + -5k)

Reorder the terms:
-2(-3 + k) = -1(1 + -5k)
(-3 * -2 + k * -2) = -1(1 + -5k)
(6 + -2k) = -1(1 + -5k)
6 + -2k = (1 * -1 + -5k * -1)
6 + -2k = (-1 + 5k)

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

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
6 + -2k + -5k = -1 + 5k + -5k

Combine like terms: -2k + -5k = -7k
6 + -7k = -1 + 5k + -5k

Combine like terms: 5k + -5k = 0
6 + -7k = -1 + 0
6 + -7k = -1

Add '-6' to each side of the equation.
6 + -6 + -7k = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -7k = -1 + -6
-7k = -1 + -6

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

Divide each side by '-7'.
k = 1

Simplifying
k = 1