2(5-k)+20(k-3)=1

Solution for 2(5-k)+20(k-3)=1 equation:

Simplifying
2(5 + -1k) + 20(k + -3) = 1
(5 * 2 + -1k * 2) + 20(k + -3) = 1
(10 + -2k) + 20(k + -3) = 1

Reorder the terms:
10 + -2k + 20(-3 + k) = 1
10 + -2k + (-3 * 20 + k * 20) = 1
10 + -2k + (-60 + 20k) = 1

Reorder the terms:
10 + -60 + -2k + 20k = 1

Combine like terms: 10 + -60 = -50
-50 + -2k + 20k = 1

Combine like terms: -2k + 20k = 18k
-50 + 18k = 1

Solving
-50 + 18k = 1

Solving for variable 'k'.

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

Add '50' to each side of the equation.
-50 + 50 + 18k = 1 + 50

Combine like terms: -50 + 50 = 0
0 + 18k = 1 + 50
18k = 1 + 50

Combine like terms: 1 + 50 = 51
18k = 51

Divide each side by '18'.
k = 2.833333333

Simplifying
k = 2.833333333