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

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

Simplifying
2(5 + -2k) = 3(1 + 2k)
(5 * 2 + -2k * 2) = 3(1 + 2k)
(10 + -4k) = 3(1 + 2k)
10 + -4k = (1 * 3 + 2k * 3)
10 + -4k = (3 + 6k)

Solving
10 + -4k = 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 + -4k + -6k = 3 + 6k + -6k

Combine like terms: -4k + -6k = -10k
10 + -10k = 3 + 6k + -6k

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

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

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

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

Divide each side by '-10'.
k = 0.7

Simplifying
k = 0.7