2(5k+3)-4(k+7)=

Solution for 2(5k+3)-4(k+7)= equation:

Simplifying
2(5k + 3) + -4(k + 7) = 0

Reorder the terms:
2(3 + 5k) + -4(k + 7) = 0
(3 * 2 + 5k * 2) + -4(k + 7) = 0
(6 + 10k) + -4(k + 7) = 0

Reorder the terms:
6 + 10k + -4(7 + k) = 0
6 + 10k + (7 * -4 + k * -4) = 0
6 + 10k + (-28 + -4k) = 0

Reorder the terms:
6 + -28 + 10k + -4k = 0

Combine like terms: 6 + -28 = -22
-22 + 10k + -4k = 0

Combine like terms: 10k + -4k = 6k
-22 + 6k = 0

Solving
-22 + 6k = 0

Solving for variable 'k'.

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

Add '22' to each side of the equation.
-22 + 22 + 6k = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 6k = 0 + 22
6k = 0 + 22

Combine like terms: 0 + 22 = 22
6k = 22

Divide each side by '6'.
k = 3.666666667

Simplifying
k = 3.666666667