3(4k+14)=10k-12(k-7)

Solution for 3(4k+14)=10k-12(k-7) equation:

Simplifying
3(4k + 14) = 10k + -12(k + -7)

Reorder the terms:
3(14 + 4k) = 10k + -12(k + -7)
(14 * 3 + 4k * 3) = 10k + -12(k + -7)
(42 + 12k) = 10k + -12(k + -7)

Reorder the terms:
42 + 12k = 10k + -12(-7 + k)
42 + 12k = 10k + (-7 * -12 + k * -12)
42 + 12k = 10k + (84 + -12k)

Reorder the terms:
42 + 12k = 84 + 10k + -12k

Combine like terms: 10k + -12k = -2k
42 + 12k = 84 + -2k

Solving
42 + 12k = 84 + -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 = 84 + -2k + 2k

Combine like terms: 12k + 2k = 14k
42 + 14k = 84 + -2k + 2k

Combine like terms: -2k + 2k = 0
42 + 14k = 84 + 0
42 + 14k = 84

Add '-42' to each side of the equation.
42 + -42 + 14k = 84 + -42

Combine like terms: 42 + -42 = 0
0 + 14k = 84 + -42
14k = 84 + -42

Combine like terms: 84 + -42 = 42
14k = 42

Divide each side by '14'.
k = 3

Simplifying
k = 3