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

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

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

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

Reorder the terms:
6 + 8k = 5(-2 + 2k)
6 + 8k = (-2 * 5 + 2k * 5)
6 + 8k = (-10 + 10k)

Solving
6 + 8k = -10 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
6 + 8k + -10k = -10 + 10k + -10k

Combine like terms: 8k + -10k = -2k
6 + -2k = -10 + 10k + -10k

Combine like terms: 10k + -10k = 0
6 + -2k = -10 + 0
6 + -2k = -10

Add '-6' to each side of the equation.
6 + -6 + -2k = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -2k = -10 + -6
-2k = -10 + -6

Combine like terms: -10 + -6 = -16
-2k = -16

Divide each side by '-2'.
k = 8

Simplifying
k = 8