2k-3=-3(1-6k)+8k

Solution for 2k-3=-3(1-6k)+8k equation:

Simplifying
2k + -3 = -3(1 + -6k) + 8k

Reorder the terms:
-3 + 2k = -3(1 + -6k) + 8k
-3 + 2k = (1 * -3 + -6k * -3) + 8k
-3 + 2k = (-3 + 18k) + 8k

Combine like terms: 18k + 8k = 26k
-3 + 2k = -3 + 26k

Add '3' to each side of the equation.
-3 + 3 + 2k = -3 + 3 + 26k

Combine like terms: -3 + 3 = 0
0 + 2k = -3 + 3 + 26k
2k = -3 + 3 + 26k

Combine like terms: -3 + 3 = 0
2k = 0 + 26k
2k = 26k

Solving
2k = 26k

Solving for variable 'k'.

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

Add '-26k' to each side of the equation.
2k + -26k = 26k + -26k

Combine like terms: 2k + -26k = -24k
-24k = 26k + -26k

Combine like terms: 26k + -26k = 0
-24k = 0

Divide each side by '-24'.
k = 0

Simplifying
k = 0