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

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

Simplifying
10(k + -5) + 3(5 + -1k) = 0

Reorder the terms:
10(-5 + k) + 3(5 + -1k) = 0
(-5 * 10 + k * 10) + 3(5 + -1k) = 0
(-50 + 10k) + 3(5 + -1k) = 0
-50 + 10k + (5 * 3 + -1k * 3) = 0
-50 + 10k + (15 + -3k) = 0

Reorder the terms:
-50 + 15 + 10k + -3k = 0

Combine like terms: -50 + 15 = -35
-35 + 10k + -3k = 0

Combine like terms: 10k + -3k = 7k
-35 + 7k = 0

Solving
-35 + 7k = 0

Solving for variable 'k'.

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

Add '35' to each side of the equation.
-35 + 35 + 7k = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 7k = 0 + 35
7k = 0 + 35

Combine like terms: 0 + 35 = 35
7k = 35

Divide each side by '7'.
k = 5

Simplifying
k = 5