6(2k-7)=-1(5-2k)

Solution for 6(2k-7)=-1(5-2k) equation:

Simplifying
6(2k + -7) = -1(5 + -2k)

Reorder the terms:
6(-7 + 2k) = -1(5 + -2k)
(-7 * 6 + 2k * 6) = -1(5 + -2k)
(-42 + 12k) = -1(5 + -2k)
-42 + 12k = (5 * -1 + -2k * -1)
-42 + 12k = (-5 + 2k)

Solving
-42 + 12k = -5 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
-42 + 12k + -2k = -5 + 2k + -2k

Combine like terms: 12k + -2k = 10k
-42 + 10k = -5 + 2k + -2k

Combine like terms: 2k + -2k = 0
-42 + 10k = -5 + 0
-42 + 10k = -5

Add '42' to each side of the equation.
-42 + 42 + 10k = -5 + 42

Combine like terms: -42 + 42 = 0
0 + 10k = -5 + 42
10k = -5 + 42

Combine like terms: -5 + 42 = 37
10k = 37

Divide each side by '10'.
k = 3.7

Simplifying
k = 3.7