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

Solution for 3(4k-2)=5(3k+1)-2(4k-3) equation:

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

Reorder the terms:
3(-2 + 4k) = 5(3k + 1) + -2(4k + -3)
(-2 * 3 + 4k * 3) = 5(3k + 1) + -2(4k + -3)
(-6 + 12k) = 5(3k + 1) + -2(4k + -3)

Reorder the terms:
-6 + 12k = 5(1 + 3k) + -2(4k + -3)
-6 + 12k = (1 * 5 + 3k * 5) + -2(4k + -3)
-6 + 12k = (5 + 15k) + -2(4k + -3)

Reorder the terms:
-6 + 12k = 5 + 15k + -2(-3 + 4k)
-6 + 12k = 5 + 15k + (-3 * -2 + 4k * -2)
-6 + 12k = 5 + 15k + (6 + -8k)

Reorder the terms:
-6 + 12k = 5 + 6 + 15k + -8k

Combine like terms: 5 + 6 = 11
-6 + 12k = 11 + 15k + -8k

Combine like terms: 15k + -8k = 7k
-6 + 12k = 11 + 7k

Solving
-6 + 12k = 11 + 7k

Solving for variable 'k'.

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

Add '-7k' to each side of the equation.
-6 + 12k + -7k = 11 + 7k + -7k

Combine like terms: 12k + -7k = 5k
-6 + 5k = 11 + 7k + -7k

Combine like terms: 7k + -7k = 0
-6 + 5k = 11 + 0
-6 + 5k = 11

Add '6' to each side of the equation.
-6 + 6 + 5k = 11 + 6

Combine like terms: -6 + 6 = 0
0 + 5k = 11 + 6
5k = 11 + 6

Combine like terms: 11 + 6 = 17
5k = 17

Divide each side by '5'.
k = 3.4

Simplifying
k = 3.4