4(k-5)+6(k+5)=30

Solution for 4(k-5)+6(k+5)=30 equation:

Simplifying
4(k + -5) + 6(k + 5) = 30

Reorder the terms:
4(-5 + k) + 6(k + 5) = 30
(-5 * 4 + k * 4) + 6(k + 5) = 30
(-20 + 4k) + 6(k + 5) = 30

Reorder the terms:
-20 + 4k + 6(5 + k) = 30
-20 + 4k + (5 * 6 + k * 6) = 30
-20 + 4k + (30 + 6k) = 30

Reorder the terms:
-20 + 30 + 4k + 6k = 30

Combine like terms: -20 + 30 = 10
10 + 4k + 6k = 30

Combine like terms: 4k + 6k = 10k
10 + 10k = 30

Solving
10 + 10k = 30

Solving for variable 'k'.

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

Add '-10' to each side of the equation.
10 + -10 + 10k = 30 + -10

Combine like terms: 10 + -10 = 0
0 + 10k = 30 + -10
10k = 30 + -10

Combine like terms: 30 + -10 = 20
10k = 20

Divide each side by '10'.
k = 2

Simplifying
k = 2