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

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

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

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

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

Solving
-6 + 2k = -12 + 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.
-6 + 2k + -3k = -12 + 3k + -3k

Combine like terms: 2k + -3k = -1k
-6 + -1k = -12 + 3k + -3k

Combine like terms: 3k + -3k = 0
-6 + -1k = -12 + 0
-6 + -1k = -12

Add '6' to each side of the equation.
-6 + 6 + -1k = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -1k = -12 + 6
-1k = -12 + 6

Combine like terms: -12 + 6 = -6
-1k = -6

Divide each side by '-1'.
k = 6

Simplifying
k = 6