2k+3=2(6k-14)+61

Solution for 2k+3=2(6k-14)+61 equation:

Simplifying
2k + 3 = 2(6k + -14) + 61

Reorder the terms:
3 + 2k = 2(6k + -14) + 61

Reorder the terms:
3 + 2k = 2(-14 + 6k) + 61
3 + 2k = (-14 * 2 + 6k * 2) + 61
3 + 2k = (-28 + 12k) + 61

Reorder the terms:
3 + 2k = -28 + 61 + 12k

Combine like terms: -28 + 61 = 33
3 + 2k = 33 + 12k

Solving
3 + 2k = 33 + 12k

Solving for variable 'k'.

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

Add '-12k' to each side of the equation.
3 + 2k + -12k = 33 + 12k + -12k

Combine like terms: 2k + -12k = -10k
3 + -10k = 33 + 12k + -12k

Combine like terms: 12k + -12k = 0
3 + -10k = 33 + 0
3 + -10k = 33

Add '-3' to each side of the equation.
3 + -3 + -10k = 33 + -3

Combine like terms: 3 + -3 = 0
0 + -10k = 33 + -3
-10k = 33 + -3

Combine like terms: 33 + -3 = 30
-10k = 30

Divide each side by '-10'.
k = -3

Simplifying
k = -3