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

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

Simplifying
2(1 + -2k) = 3 + -5k
(1 * 2 + -2k * 2) = 3 + -5k
(2 + -4k) = 3 + -5k

Solving
2 + -4k = 3 + -5k

Solving for variable 'k'.

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

Add '5k' to each side of the equation.
2 + -4k + 5k = 3 + -5k + 5k

Combine like terms: -4k + 5k = 1k
2 + 1k = 3 + -5k + 5k

Combine like terms: -5k + 5k = 0
2 + 1k = 3 + 0
2 + 1k = 3

Add '-2' to each side of the equation.
2 + -2 + 1k = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 1k = 3 + -2
1k = 3 + -2

Combine like terms: 3 + -2 = 1
1k = 1

Divide each side by '1'.
k = 1

Simplifying
k = 1