3(k-3)-5(k-4)=4(k-1)

Solution for 3(k-3)-5(k-4)=4(k-1) equation:

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

Reorder the terms:
3(-3 + k) + -5(k + -4) = 4(k + -1)
(-3 * 3 + k * 3) + -5(k + -4) = 4(k + -1)
(-9 + 3k) + -5(k + -4) = 4(k + -1)

Reorder the terms:
-9 + 3k + -5(-4 + k) = 4(k + -1)
-9 + 3k + (-4 * -5 + k * -5) = 4(k + -1)
-9 + 3k + (20 + -5k) = 4(k + -1)

Reorder the terms:
-9 + 20 + 3k + -5k = 4(k + -1)

Combine like terms: -9 + 20 = 11
11 + 3k + -5k = 4(k + -1)

Combine like terms: 3k + -5k = -2k
11 + -2k = 4(k + -1)

Reorder the terms:
11 + -2k = 4(-1 + k)
11 + -2k = (-1 * 4 + k * 4)
11 + -2k = (-4 + 4k)

Solving
11 + -2k = -4 + 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.
11 + -2k + -4k = -4 + 4k + -4k

Combine like terms: -2k + -4k = -6k
11 + -6k = -4 + 4k + -4k

Combine like terms: 4k + -4k = 0
11 + -6k = -4 + 0
11 + -6k = -4

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

Combine like terms: 11 + -11 = 0
0 + -6k = -4 + -11
-6k = -4 + -11

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

Divide each side by '-6'.
k = 2.5

Simplifying
k = 2.5