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

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

Simplifying
3(4 + -7k) = -2(3 + -1k)
(4 * 3 + -7k * 3) = -2(3 + -1k)
(12 + -21k) = -2(3 + -1k)
12 + -21k = (3 * -2 + -1k * -2)
12 + -21k = (-6 + 2k)

Solving
12 + -21k = -6 + 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.
12 + -21k + -2k = -6 + 2k + -2k

Combine like terms: -21k + -2k = -23k
12 + -23k = -6 + 2k + -2k

Combine like terms: 2k + -2k = 0
12 + -23k = -6 + 0
12 + -23k = -6

Add '-12' to each side of the equation.
12 + -12 + -23k = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -23k = -6 + -12
-23k = -6 + -12

Combine like terms: -6 + -12 = -18
-23k = -18

Divide each side by '-23'.
k = 0.7826086957

Simplifying
k = 0.7826086957