2(k-5)-(4k-6)=-3k

Solution for 2(k-5)-(4k-6)=-3k equation:

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

Reorder the terms:
2(-5 + k) + -1(4k + -6) = -3k
(-5 * 2 + k * 2) + -1(4k + -6) = -3k
(-10 + 2k) + -1(4k + -6) = -3k

Reorder the terms:
-10 + 2k + -1(-6 + 4k) = -3k
-10 + 2k + (-6 * -1 + 4k * -1) = -3k
-10 + 2k + (6 + -4k) = -3k

Reorder the terms:
-10 + 6 + 2k + -4k = -3k

Combine like terms: -10 + 6 = -4
-4 + 2k + -4k = -3k

Combine like terms: 2k + -4k = -2k
-4 + -2k = -3k

Solving
-4 + -2k = -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
-4 + -2k + 3k = -3k + 3k

Combine like terms: -2k + 3k = 1k
-4 + 1k = -3k + 3k

Combine like terms: -3k + 3k = 0
-4 + 1k = 0

Add '4' to each side of the equation.
-4 + 4 + 1k = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 1k = 0 + 4
1k = 0 + 4

Combine like terms: 0 + 4 = 4
1k = 4

Divide each side by '1'.
k = 4

Simplifying
k = 4