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

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

Simplifying
2(k + -2) + -3(5k + -2) = 0

Reorder the terms:
2(-2 + k) + -3(5k + -2) = 0
(-2 * 2 + k * 2) + -3(5k + -2) = 0
(-4 + 2k) + -3(5k + -2) = 0

Reorder the terms:
-4 + 2k + -3(-2 + 5k) = 0
-4 + 2k + (-2 * -3 + 5k * -3) = 0
-4 + 2k + (6 + -15k) = 0

Reorder the terms:
-4 + 6 + 2k + -15k = 0

Combine like terms: -4 + 6 = 2
2 + 2k + -15k = 0

Combine like terms: 2k + -15k = -13k
2 + -13k = 0

Solving
2 + -13k = 0

Solving for variable 'k'.

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

Add '-2' to each side of the equation.
2 + -2 + -13k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -13k = 0 + -2
-13k = 0 + -2

Combine like terms: 0 + -2 = -2
-13k = -2

Divide each side by '-13'.
k = 0.1538461538

Simplifying
k = 0.1538461538