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

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

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

Reorder the terms:
2(-5 + k) = 3(1 + -2k)
(-5 * 2 + k * 2) = 3(1 + -2k)
(-10 + 2k) = 3(1 + -2k)
-10 + 2k = (1 * 3 + -2k * 3)
-10 + 2k = (3 + -6k)

Solving
-10 + 2k = 3 + -6k

Solving for variable 'k'.

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

Add '6k' to each side of the equation.
-10 + 2k + 6k = 3 + -6k + 6k

Combine like terms: 2k + 6k = 8k
-10 + 8k = 3 + -6k + 6k

Combine like terms: -6k + 6k = 0
-10 + 8k = 3 + 0
-10 + 8k = 3

Add '10' to each side of the equation.
-10 + 10 + 8k = 3 + 10

Combine like terms: -10 + 10 = 0
0 + 8k = 3 + 10
8k = 3 + 10

Combine like terms: 3 + 10 = 13
8k = 13

Divide each side by '8'.
k = 1.625

Simplifying
k = 1.625