2(k-10)+5(k+3)=37

Solution for 2(k-10)+5(k+3)=37 equation:

Simplifying
2(k + -10) + 5(k + 3) = 37

Reorder the terms:
2(-10 + k) + 5(k + 3) = 37
(-10 * 2 + k * 2) + 5(k + 3) = 37
(-20 + 2k) + 5(k + 3) = 37

Reorder the terms:
-20 + 2k + 5(3 + k) = 37
-20 + 2k + (3 * 5 + k * 5) = 37
-20 + 2k + (15 + 5k) = 37

Reorder the terms:
-20 + 15 + 2k + 5k = 37

Combine like terms: -20 + 15 = -5
-5 + 2k + 5k = 37

Combine like terms: 2k + 5k = 7k
-5 + 7k = 37

Solving
-5 + 7k = 37

Solving for variable 'k'.

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

Add '5' to each side of the equation.
-5 + 5 + 7k = 37 + 5

Combine like terms: -5 + 5 = 0
0 + 7k = 37 + 5
7k = 37 + 5

Combine like terms: 37 + 5 = 42
7k = 42

Divide each side by '7'.
k = 6

Simplifying
k = 6