2(k+5)=3k

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

Simplifying
2(k + 5) = 3k

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

Solving
10 + 2k = 3k

Solving for variable 'k'.

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

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

Combine like terms: 2k + -3k = -1k
10 + -1k = 3k + -3k

Combine like terms: 3k + -3k = 0
10 + -1k = 0

Add '-10' to each side of the equation.
10 + -10 + -1k = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1k = 0 + -10
-1k = 0 + -10

Combine like terms: 0 + -10 = -10
-1k = -10

Divide each side by '-1'.
k = 10

Simplifying
k = 10